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Finding the Third Proportional to 161,806 and 241,785

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Solution

The third proportional to 161,806 and 241,785 is: 361,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,806 : 241,785 = 241,785 : x
  2. Step 2: Convert to fraction form
    161,806/241,785 = 241,785/x
  3. Step 3: Cross multiply
    161,806x = 241,785 × 241,785
  4. Step 4: Simplify right side
    161,806x = 58,459,986,225
  5. Step 5: Solve for x
    x = 58,459,986,225/161,806
  6. Step 6: Final answer
    x = 361,296.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.