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Finding the Third Proportional to 159,825.66 and 266,340.66

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Solution

The third proportional to 159,825.66 and 266,340.66 is: 443,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,825.66 : 266,340.66 = 266,340.66 : x
  2. Step 2: Convert to fraction form
    159,825.66/266,340.66 = 266,340.66/x
  3. Step 3: Cross multiply
    159,825.66x = 266,340.66 × 266,340.66
  4. Step 4: Simplify right side
    159,825.66x = 70,937,345,171.68
  5. Step 5: Solve for x
    x = 70,937,345,171.68/159,825.66
  6. Step 6: Final answer
    x = 443,842.04

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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.