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Finding the Third Proportional to 160,780 and 349,229

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Solution

The third proportional to 160,780 and 349,229 is: 758,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,780 : 349,229 = 349,229 : x
  2. Step 2: Convert to fraction form
    160,780/349,229 = 349,229/x
  3. Step 3: Cross multiply
    160,780x = 349,229 × 349,229
  4. Step 4: Simplify right side
    160,780x = 121,960,894,441
  5. Step 5: Solve for x
    x = 121,960,894,441/160,780
  6. Step 6: Final answer
    x = 758,557.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.