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Finding the Third Proportional to 152,869.50 and 231,612.75

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Solution

The third proportional to 152,869.50 and 231,612.75 is: 350,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,869.50 : 231,612.75 = 231,612.75 : x
  2. Step 2: Convert to fraction form
    152,869.50/231,612.75 = 231,612.75/x
  3. Step 3: Cross multiply
    152,869.50x = 231,612.75 × 231,612.75
  4. Step 4: Simplify right side
    152,869.50x = 53,644,465,962.56
  5. Step 5: Solve for x
    x = 53,644,465,962.56/152,869.50
  6. Step 6: Final answer
    x = 350,916.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.