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Finding the Third Proportional to 159,838.13 and 266,358.94

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Solution

The third proportional to 159,838.13 and 266,358.94 is: 443,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,838.13 : 266,358.94 = 266,358.94 : x
  2. Step 2: Convert to fraction form
    159,838.13/266,358.94 = 266,358.94/x
  3. Step 3: Cross multiply
    159,838.13x = 266,358.94 × 266,358.94
  4. Step 4: Simplify right side
    159,838.13x = 70,947,083,586.13
  5. Step 5: Solve for x
    x = 70,947,083,586.13/159,838.13
  6. Step 6: Final answer
    x = 443,868.34

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