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Finding the Third Proportional to 218,481 and 329,725.50

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Solution

The third proportional to 218,481 and 329,725.50 is: 497,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,481 : 329,725.50 = 329,725.50 : x
  2. Step 2: Convert to fraction form
    218,481/329,725.50 = 329,725.50/x
  3. Step 3: Cross multiply
    218,481x = 329,725.50 × 329,725.50
  4. Step 4: Simplify right side
    218,481x = 108,718,905,350.25
  5. Step 5: Solve for x
    x = 108,718,905,350.25/218,481
  6. Step 6: Final answer
    x = 497,612.63

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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.