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Finding the Third Proportional to 159,998.50 and 241,012

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Solution

The third proportional to 159,998.50 and 241,012 is: 363,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,998.50 : 241,012 = 241,012 : x
  2. Step 2: Convert to fraction form
    159,998.50/241,012 = 241,012/x
  3. Step 3: Cross multiply
    159,998.50x = 241,012 × 241,012
  4. Step 4: Simplify right side
    159,998.50x = 58,086,784,144
  5. Step 5: Solve for x
    x = 58,086,784,144/159,998.50
  6. Step 6: Final answer
    x = 363,045.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.