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Finding the Third Proportional to 157,214.25 and 249,112.13

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Solution

The third proportional to 157,214.25 and 249,112.13 is: 394,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,214.25 : 249,112.13 = 249,112.13 : x
  2. Step 2: Convert to fraction form
    157,214.25/249,112.13 = 249,112.13/x
  3. Step 3: Cross multiply
    157,214.25x = 249,112.13 × 249,112.13
  4. Step 4: Simplify right side
    157,214.25x = 62,056,850,822.02
  5. Step 5: Solve for x
    x = 62,056,850,822.02/157,214.25
  6. Step 6: Final answer
    x = 394,727.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.