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Finding the Third Proportional to 224,388 and 329,940

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Solution

The third proportional to 224,388 and 329,940 is: 485,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,388 : 329,940 = 329,940 : x
  2. Step 2: Convert to fraction form
    224,388/329,940 = 329,940/x
  3. Step 3: Cross multiply
    224,388x = 329,940 × 329,940
  4. Step 4: Simplify right side
    224,388x = 108,860,403,600
  5. Step 5: Solve for x
    x = 108,860,403,600/224,388
  6. Step 6: Final answer
    x = 485,143.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.