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Finding the Third Proportional to 160,467 and 224,331

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Solution

The third proportional to 160,467 and 224,331 is: 313,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,467 : 224,331 = 224,331 : x
  2. Step 2: Convert to fraction form
    160,467/224,331 = 224,331/x
  3. Step 3: Cross multiply
    160,467x = 224,331 × 224,331
  4. Step 4: Simplify right side
    160,467x = 50,324,397,561
  5. Step 5: Solve for x
    x = 50,324,397,561/160,467
  6. Step 6: Final answer
    x = 313,612.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.