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Finding the Third Proportional to 116,642.25 and 255,882.94

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Solution

The third proportional to 116,642.25 and 255,882.94 is: 561,341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,642.25 : 255,882.94 = 255,882.94 : x
  2. Step 2: Convert to fraction form
    116,642.25/255,882.94 = 255,882.94/x
  3. Step 3: Cross multiply
    116,642.25x = 255,882.94 × 255,882.94
  4. Step 4: Simplify right side
    116,642.25x = 65,476,077,703.63
  5. Step 5: Solve for x
    x = 65,476,077,703.63/116,642.25
  6. Step 6: Final answer
    x = 561,341.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.