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Finding the Third Proportional to 159,004.13 and 242,862.75

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Solution

The third proportional to 159,004.13 and 242,862.75 is: 370,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,004.13 : 242,862.75 = 242,862.75 : x
  2. Step 2: Convert to fraction form
    159,004.13/242,862.75 = 242,862.75/x
  3. Step 3: Cross multiply
    159,004.13x = 242,862.75 × 242,862.75
  4. Step 4: Simplify right side
    159,004.13x = 58,982,315,337.56
  5. Step 5: Solve for x
    x = 58,982,315,337.56/159,004.13
  6. Step 6: Final answer
    x = 370,948.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.