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Finding the Third Proportional to 224,486 and 348,533

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Solution

The third proportional to 224,486 and 348,533 is: 541,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,486 : 348,533 = 348,533 : x
  2. Step 2: Convert to fraction form
    224,486/348,533 = 348,533/x
  3. Step 3: Cross multiply
    224,486x = 348,533 × 348,533
  4. Step 4: Simplify right side
    224,486x = 121,475,252,089
  5. Step 5: Solve for x
    x = 121,475,252,089/224,486
  6. Step 6: Final answer
    x = 541,126.18

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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.