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Finding the Third Proportional to 159,423.19 and 243,372.09

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Solution

The third proportional to 159,423.19 and 243,372.09 is: 371,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,423.19 : 243,372.09 = 243,372.09 : x
  2. Step 2: Convert to fraction form
    159,423.19/243,372.09 = 243,372.09/x
  3. Step 3: Cross multiply
    159,423.19x = 243,372.09 × 243,372.09
  4. Step 4: Simplify right side
    159,423.19x = 59,229,976,016.26
  5. Step 5: Solve for x
    x = 59,229,976,016.26/159,423.19
  6. Step 6: Final answer
    x = 371,526.73

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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.