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Finding the Third Proportional to 149,202 and 231,366.38

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Solution

The third proportional to 149,202 and 231,366.38 is: 358,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,202 : 231,366.38 = 231,366.38 : x
  2. Step 2: Convert to fraction form
    149,202/231,366.38 = 231,366.38/x
  3. Step 3: Cross multiply
    149,202x = 231,366.38 × 231,366.38
  4. Step 4: Simplify right side
    149,202x = 53,530,399,480.64
  5. Step 5: Solve for x
    x = 53,530,399,480.64/149,202
  6. Step 6: Final answer
    x = 358,778.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.