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Finding the Third Proportional to 162,781.50 and 241,809

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Solution

The third proportional to 162,781.50 and 241,809 is: 359,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,781.50 : 241,809 = 241,809 : x
  2. Step 2: Convert to fraction form
    162,781.50/241,809 = 241,809/x
  3. Step 3: Cross multiply
    162,781.50x = 241,809 × 241,809
  4. Step 4: Simplify right side
    162,781.50x = 58,471,592,481
  5. Step 5: Solve for x
    x = 58,471,592,481/162,781.50
  6. Step 6: Final answer
    x = 359,202.93

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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.