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Finding the Third Proportional to 144,872 and 224,135

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Solution

The third proportional to 144,872 and 224,135 is: 346,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,872 : 224,135 = 224,135 : x
  2. Step 2: Convert to fraction form
    144,872/224,135 = 224,135/x
  3. Step 3: Cross multiply
    144,872x = 224,135 × 224,135
  4. Step 4: Simplify right side
    144,872x = 50,236,498,225
  5. Step 5: Solve for x
    x = 50,236,498,225/144,872
  6. Step 6: Final answer
    x = 346,764.72

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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.