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Finding the Third Proportional to 159,347.25 and 239,392.13

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Solution

The third proportional to 159,347.25 and 239,392.13 is: 359,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,347.25 : 239,392.13 = 239,392.13 : x
  2. Step 2: Convert to fraction form
    159,347.25/239,392.13 = 239,392.13/x
  3. Step 3: Cross multiply
    159,347.25x = 239,392.13 × 239,392.13
  4. Step 4: Simplify right side
    159,347.25x = 57,308,589,512.02
  5. Step 5: Solve for x
    x = 57,308,589,512.02/159,347.25
  6. Step 6: Final answer
    x = 359,645.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.