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Finding the Third Proportional to 157,366.50 and 249,564.75

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Solution

The third proportional to 157,366.50 and 249,564.75 is: 395,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,366.50 : 249,564.75 = 249,564.75 : x
  2. Step 2: Convert to fraction form
    157,366.50/249,564.75 = 249,564.75/x
  3. Step 3: Cross multiply
    157,366.50x = 249,564.75 × 249,564.75
  4. Step 4: Simplify right side
    157,366.50x = 62,282,564,442.56
  5. Step 5: Solve for x
    x = 62,282,564,442.56/157,366.50
  6. Step 6: Final answer
    x = 395,780.32

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