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Finding the Third Proportional to 149,448 and 231,396

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Solution

The third proportional to 149,448 and 231,396 is: 358,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,448 : 231,396 = 231,396 : x
  2. Step 2: Convert to fraction form
    149,448/231,396 = 231,396/x
  3. Step 3: Cross multiply
    149,448x = 231,396 × 231,396
  4. Step 4: Simplify right side
    149,448x = 53,544,108,816
  5. Step 5: Solve for x
    x = 53,544,108,816/149,448
  6. Step 6: Final answer
    x = 358,279.19

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