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Finding the Third Proportional to 159,838.50 and 266,359.50

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Solution

The third proportional to 159,838.50 and 266,359.50 is: 443,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,838.50 : 266,359.50 = 266,359.50 : x
  2. Step 2: Convert to fraction form
    159,838.50/266,359.50 = 266,359.50/x
  3. Step 3: Cross multiply
    159,838.50x = 266,359.50 × 266,359.50
  4. Step 4: Simplify right side
    159,838.50x = 70,947,383,240.25
  5. Step 5: Solve for x
    x = 70,947,383,240.25/159,838.50
  6. Step 6: Final answer
    x = 443,869.18

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.