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Finding the Third Proportional to 159,516 and 232,350

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Solution

The third proportional to 159,516 and 232,350 is: 338,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,516 : 232,350 = 232,350 : x
  2. Step 2: Convert to fraction form
    159,516/232,350 = 232,350/x
  3. Step 3: Cross multiply
    159,516x = 232,350 × 232,350
  4. Step 4: Simplify right side
    159,516x = 53,986,522,500
  5. Step 5: Solve for x
    x = 53,986,522,500/159,516
  6. Step 6: Final answer
    x = 338,439.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.