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Finding the Third Proportional to 161,298 and 225,612

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Solution

The third proportional to 161,298 and 225,612 is: 315,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,298 : 225,612 = 225,612 : x
  2. Step 2: Convert to fraction form
    161,298/225,612 = 225,612/x
  3. Step 3: Cross multiply
    161,298x = 225,612 × 225,612
  4. Step 4: Simplify right side
    161,298x = 50,900,774,544
  5. Step 5: Solve for x
    x = 50,900,774,544/161,298
  6. Step 6: Final answer
    x = 315,569.78

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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.