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Finding the Third Proportional to 218,439 and 329,665.50

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Solution

The third proportional to 218,439 and 329,665.50 is: 497,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,439 : 329,665.50 = 329,665.50 : x
  2. Step 2: Convert to fraction form
    218,439/329,665.50 = 329,665.50/x
  3. Step 3: Cross multiply
    218,439x = 329,665.50 × 329,665.50
  4. Step 4: Simplify right side
    218,439x = 108,679,341,890.25
  5. Step 5: Solve for x
    x = 108,679,341,890.25/218,439
  6. Step 6: Final answer
    x = 497,527.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.