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Finding the Third Proportional to 131,769.56 and 288,932.63

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Solution

The third proportional to 131,769.56 and 288,932.63 is: 633,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,769.56 : 288,932.63 = 288,932.63 : x
  2. Step 2: Convert to fraction form
    131,769.56/288,932.63 = 288,932.63/x
  3. Step 3: Cross multiply
    131,769.56x = 288,932.63 × 288,932.63
  4. Step 4: Simplify right side
    131,769.56x = 83,482,061,789.39
  5. Step 5: Solve for x
    x = 83,482,061,789.39/131,769.56
  6. Step 6: Final answer
    x = 633,545.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.