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Finding the Third Proportional to 157,539 and 249,448.50

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Solution

The third proportional to 157,539 and 249,448.50 is: 394,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,539 : 249,448.50 = 249,448.50 : x
  2. Step 2: Convert to fraction form
    157,539/249,448.50 = 249,448.50/x
  3. Step 3: Cross multiply
    157,539x = 249,448.50 × 249,448.50
  4. Step 4: Simplify right side
    157,539x = 62,224,554,152.25
  5. Step 5: Solve for x
    x = 62,224,554,152.25/157,539
  6. Step 6: Final answer
    x = 394,978.73

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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.