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Finding the Third Proportional to 160,919 and 225,082

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Solution

The third proportional to 160,919 and 225,082 is: 314,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,919 : 225,082 = 225,082 : x
  2. Step 2: Convert to fraction form
    160,919/225,082 = 225,082/x
  3. Step 3: Cross multiply
    160,919x = 225,082 × 225,082
  4. Step 4: Simplify right side
    160,919x = 50,661,906,724
  5. Step 5: Solve for x
    x = 50,661,906,724/160,919
  6. Step 6: Final answer
    x = 314,828.62

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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.