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Finding the Third Proportional to 159,472.50 and 216,672.75

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Solution

The third proportional to 159,472.50 and 216,672.75 is: 294,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,472.50 : 216,672.75 = 216,672.75 : x
  2. Step 2: Convert to fraction form
    159,472.50/216,672.75 = 216,672.75/x
  3. Step 3: Cross multiply
    159,472.50x = 216,672.75 × 216,672.75
  4. Step 4: Simplify right side
    159,472.50x = 46,947,080,592.56
  5. Step 5: Solve for x
    x = 46,947,080,592.56/159,472.50
  6. Step 6: Final answer
    x = 294,389.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.