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Finding the Third Proportional to 159,468.50 and 216,666.75

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Solution

The third proportional to 159,468.50 and 216,666.75 is: 294,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,468.50 : 216,666.75 = 216,666.75 : x
  2. Step 2: Convert to fraction form
    159,468.50/216,666.75 = 216,666.75/x
  3. Step 3: Cross multiply
    159,468.50x = 216,666.75 × 216,666.75
  4. Step 4: Simplify right side
    159,468.50x = 46,944,480,555.56
  5. Step 5: Solve for x
    x = 46,944,480,555.56/159,468.50
  6. Step 6: Final answer
    x = 294,380.90

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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.