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Finding the Third Proportional to 179,401.75 and 289,062.38

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Solution

The third proportional to 179,401.75 and 289,062.38 is: 465,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,401.75 : 289,062.38 = 289,062.38 : x
  2. Step 2: Convert to fraction form
    179,401.75/289,062.38 = 289,062.38/x
  3. Step 3: Cross multiply
    179,401.75x = 289,062.38 × 289,062.38
  4. Step 4: Simplify right side
    179,401.75x = 83,557,056,640.64
  5. Step 5: Solve for x
    x = 83,557,056,640.64/179,401.75
  6. Step 6: Final answer
    x = 465,753.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.