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Finding the Third Proportional to 147,608 and 229,186

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Solution

The third proportional to 147,608 and 229,186 is: 355,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,608 : 229,186 = 229,186 : x
  2. Step 2: Convert to fraction form
    147,608/229,186 = 229,186/x
  3. Step 3: Cross multiply
    147,608x = 229,186 × 229,186
  4. Step 4: Simplify right side
    147,608x = 52,526,222,596
  5. Step 5: Solve for x
    x = 52,526,222,596/147,608
  6. Step 6: Final answer
    x = 355,849.43

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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.