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Finding the Third Proportional to 124,791 and 268,285.50

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Solution

The third proportional to 124,791 and 268,285.50 is: 576,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,791 : 268,285.50 = 268,285.50 : x
  2. Step 2: Convert to fraction form
    124,791/268,285.50 = 268,285.50/x
  3. Step 3: Cross multiply
    124,791x = 268,285.50 × 268,285.50
  4. Step 4: Simplify right side
    124,791x = 71,977,109,510.25
  5. Step 5: Solve for x
    x = 71,977,109,510.25/124,791
  6. Step 6: Final answer
    x = 576,781.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.