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Finding the Third Proportional to 224,792 and 348,044

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Solution

The third proportional to 224,792 and 348,044 is: 538,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,792 : 348,044 = 348,044 : x
  2. Step 2: Convert to fraction form
    224,792/348,044 = 348,044/x
  3. Step 3: Cross multiply
    224,792x = 348,044 × 348,044
  4. Step 4: Simplify right side
    224,792x = 121,134,625,936
  5. Step 5: Solve for x
    x = 121,134,625,936/224,792
  6. Step 6: Final answer
    x = 538,874.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.