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Finding the Third Proportional to 151,557.75 and 252,583.31

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Solution

The third proportional to 151,557.75 and 252,583.31 is: 420,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,557.75 : 252,583.31 = 252,583.31 : x
  2. Step 2: Convert to fraction form
    151,557.75/252,583.31 = 252,583.31/x
  3. Step 3: Cross multiply
    151,557.75x = 252,583.31 × 252,583.31
  4. Step 4: Simplify right side
    151,557.75x = 63,798,329,753.47
  5. Step 5: Solve for x
    x = 63,798,329,753.47/151,557.75
  6. Step 6: Final answer
    x = 420,950.63

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.