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Finding the Third Proportional to 255,112.88 and 556,851.38

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Solution

The third proportional to 255,112.88 and 556,851.38 is: 1,215,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,112.88 : 556,851.38 = 556,851.38 : x
  2. Step 2: Convert to fraction form
    255,112.88/556,851.38 = 556,851.38/x
  3. Step 3: Cross multiply
    255,112.88x = 556,851.38 × 556,851.38
  4. Step 4: Simplify right side
    255,112.88x = 310,083,453,839.39
  5. Step 5: Solve for x
    x = 310,083,453,839.39/255,112.88
  6. Step 6: Final answer
    x = 1,215,475.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.