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Finding the Third Proportional to 218,424 and 329,641.50

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Solution

The third proportional to 218,424 and 329,641.50 is: 497,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,424 : 329,641.50 = 329,641.50 : x
  2. Step 2: Convert to fraction form
    218,424/329,641.50 = 329,641.50/x
  3. Step 3: Cross multiply
    218,424x = 329,641.50 × 329,641.50
  4. Step 4: Simplify right side
    218,424x = 108,663,518,522.25
  5. Step 5: Solve for x
    x = 108,663,518,522.25/218,424
  6. Step 6: Final answer
    x = 497,488.91

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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.