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Finding the Third Proportional to 154,288.13 and 231,432.19

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Solution

The third proportional to 154,288.13 and 231,432.19 is: 347,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,288.13 : 231,432.19 = 231,432.19 : x
  2. Step 2: Convert to fraction form
    154,288.13/231,432.19 = 231,432.19/x
  3. Step 3: Cross multiply
    154,288.13x = 231,432.19 × 231,432.19
  4. Step 4: Simplify right side
    154,288.13x = 53,560,857,411.04
  5. Step 5: Solve for x
    x = 53,560,857,411.04/154,288.13
  6. Step 6: Final answer
    x = 347,148.28

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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.