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Finding the Third Proportional to 114,781.50 and 249,221.25

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Solution

The third proportional to 114,781.50 and 249,221.25 is: 541,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,781.50 : 249,221.25 = 249,221.25 : x
  2. Step 2: Convert to fraction form
    114,781.50/249,221.25 = 249,221.25/x
  3. Step 3: Cross multiply
    114,781.50x = 249,221.25 × 249,221.25
  4. Step 4: Simplify right side
    114,781.50x = 62,111,231,451.56
  5. Step 5: Solve for x
    x = 62,111,231,451.56/114,781.50
  6. Step 6: Final answer
    x = 541,125.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.