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Finding the Third Proportional to 224,390 and 329,943

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Solution

The third proportional to 224,390 and 329,943 is: 485,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,390 : 329,943 = 329,943 : x
  2. Step 2: Convert to fraction form
    224,390/329,943 = 329,943/x
  3. Step 3: Cross multiply
    224,390x = 329,943 × 329,943
  4. Step 4: Simplify right side
    224,390x = 108,862,383,249
  5. Step 5: Solve for x
    x = 108,862,383,249/224,390
  6. Step 6: Final answer
    x = 485,148.10

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Why These Related Problems?

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