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Finding the Third Proportional to 249,085.13 and 396,536.13

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Solution

The third proportional to 249,085.13 and 396,536.13 is: 631,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,085.13 : 396,536.13 = 396,536.13 : x
  2. Step 2: Convert to fraction form
    249,085.13/396,536.13 = 396,536.13/x
  3. Step 3: Cross multiply
    249,085.13x = 396,536.13 × 396,536.13
  4. Step 4: Simplify right side
    249,085.13x = 157,240,904,625.89
  5. Step 5: Solve for x
    x = 157,240,904,625.89/249,085.13
  6. Step 6: Final answer
    x = 631,273.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.