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Finding the Third Proportional to 157,370 and 249,569

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Solution

The third proportional to 157,370 and 249,569 is: 395,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,370 : 249,569 = 249,569 : x
  2. Step 2: Convert to fraction form
    157,370/249,569 = 249,569/x
  3. Step 3: Cross multiply
    157,370x = 249,569 × 249,569
  4. Step 4: Simplify right side
    157,370x = 62,284,685,761
  5. Step 5: Solve for x
    x = 62,284,685,761/157,370
  6. Step 6: Final answer
    x = 395,785.00

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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.