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Finding the Third Proportional to 160,915 and 225,076

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Solution

The third proportional to 160,915 and 225,076 is: 314,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,915 : 225,076 = 225,076 : x
  2. Step 2: Convert to fraction form
    160,915/225,076 = 225,076/x
  3. Step 3: Cross multiply
    160,915x = 225,076 × 225,076
  4. Step 4: Simplify right side
    160,915x = 50,659,205,776
  5. Step 5: Solve for x
    x = 50,659,205,776/160,915
  6. Step 6: Final answer
    x = 314,819.66

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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.