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Finding the Third Proportional to 224,624 and 328,151

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Solution

The third proportional to 224,624 and 328,151 is: 479,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,624 : 328,151 = 328,151 : x
  2. Step 2: Convert to fraction form
    224,624/328,151 = 328,151/x
  3. Step 3: Cross multiply
    224,624x = 328,151 × 328,151
  4. Step 4: Simplify right side
    224,624x = 107,683,078,801
  5. Step 5: Solve for x
    x = 107,683,078,801/224,624
  6. Step 6: Final answer
    x = 479,392.58

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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.