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Finding the Third Proportional to 157,218.75 and 249,118.88

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Solution

The third proportional to 157,218.75 and 249,118.88 is: 394,737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,218.75 : 249,118.88 = 249,118.88 : x
  2. Step 2: Convert to fraction form
    157,218.75/249,118.88 = 249,118.88/x
  3. Step 3: Cross multiply
    157,218.75x = 249,118.88 × 249,118.88
  4. Step 4: Simplify right side
    157,218.75x = 62,060,213,881.27
  5. Step 5: Solve for x
    x = 62,060,213,881.27/157,218.75
  6. Step 6: Final answer
    x = 394,737.99

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