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Finding the Third Proportional to 255,167 and 556,954

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Solution

The third proportional to 255,167 and 556,954 is: 1,215,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,167 : 556,954 = 556,954 : x
  2. Step 2: Convert to fraction form
    255,167/556,954 = 556,954/x
  3. Step 3: Cross multiply
    255,167x = 556,954 × 556,954
  4. Step 4: Simplify right side
    255,167x = 310,197,758,116
  5. Step 5: Solve for x
    x = 310,197,758,116/255,167
  6. Step 6: Final answer
    x = 1,215,665.65

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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.