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Finding the Third Proportional to 159,344 and 240,250

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Solution

The third proportional to 159,344 and 240,250 is: 362,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,344 : 240,250 = 240,250 : x
  2. Step 2: Convert to fraction form
    159,344/240,250 = 240,250/x
  3. Step 3: Cross multiply
    159,344x = 240,250 × 240,250
  4. Step 4: Simplify right side
    159,344x = 57,720,062,500
  5. Step 5: Solve for x
    x = 57,720,062,500/159,344
  6. Step 6: Final answer
    x = 362,235.56

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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.