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Finding the Third Proportional to 147,708 and 229,149

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Solution

The third proportional to 147,708 and 229,149 is: 355,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,708 : 229,149 = 229,149 : x
  2. Step 2: Convert to fraction form
    147,708/229,149 = 229,149/x
  3. Step 3: Cross multiply
    147,708x = 229,149 × 229,149
  4. Step 4: Simplify right side
    147,708x = 52,509,264,201
  5. Step 5: Solve for x
    x = 52,509,264,201/147,708
  6. Step 6: Final answer
    x = 355,493.71

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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.