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Finding the Third Proportional to 224,442 and 344,961

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Solution

The third proportional to 224,442 and 344,961 is: 530,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,442 : 344,961 = 344,961 : x
  2. Step 2: Convert to fraction form
    224,442/344,961 = 344,961/x
  3. Step 3: Cross multiply
    224,442x = 344,961 × 344,961
  4. Step 4: Simplify right side
    224,442x = 118,998,091,521
  5. Step 5: Solve for x
    x = 118,998,091,521/224,442
  6. Step 6: Final answer
    x = 530,195.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.