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Finding the Third Proportional to 149,700.38 and 231,240.38

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Solution

The third proportional to 149,700.38 and 231,240.38 is: 357,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,700.38 : 231,240.38 = 231,240.38 : x
  2. Step 2: Convert to fraction form
    149,700.38/231,240.38 = 231,240.38/x
  3. Step 3: Cross multiply
    149,700.38x = 231,240.38 × 231,240.38
  4. Step 4: Simplify right side
    149,700.38x = 53,472,111,030.14
  5. Step 5: Solve for x
    x = 53,472,111,030.14/149,700.38
  6. Step 6: Final answer
    x = 357,194.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.