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Finding the Third Proportional to 147,874 and 229,396

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Solution

The third proportional to 147,874 and 229,396 is: 355,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,874 : 229,396 = 229,396 : x
  2. Step 2: Convert to fraction form
    147,874/229,396 = 229,396/x
  3. Step 3: Cross multiply
    147,874x = 229,396 × 229,396
  4. Step 4: Simplify right side
    147,874x = 52,622,524,816
  5. Step 5: Solve for x
    x = 52,622,524,816/147,874
  6. Step 6: Final answer
    x = 355,860.56

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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.