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Finding the Third Proportional to 224,582 and 328,110

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Solution

The third proportional to 224,582 and 328,110 is: 479,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,582 : 328,110 = 328,110 : x
  2. Step 2: Convert to fraction form
    224,582/328,110 = 328,110/x
  3. Step 3: Cross multiply
    224,582x = 328,110 × 328,110
  4. Step 4: Simplify right side
    224,582x = 107,656,172,100
  5. Step 5: Solve for x
    x = 107,656,172,100/224,582
  6. Step 6: Final answer
    x = 479,362.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.