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Finding the Third Proportional to 224,000 and 346,872

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Solution

The third proportional to 224,000 and 346,872 is: 537,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,000 : 346,872 = 346,872 : x
  2. Step 2: Convert to fraction form
    224,000/346,872 = 346,872/x
  3. Step 3: Cross multiply
    224,000x = 346,872 × 346,872
  4. Step 4: Simplify right side
    224,000x = 120,320,184,384
  5. Step 5: Solve for x
    x = 120,320,184,384/224,000
  6. Step 6: Final answer
    x = 537,143.68

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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.