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Finding the Third Proportional to 147,890 and 229,422

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Solution

The third proportional to 147,890 and 229,422 is: 355,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,890 : 229,422 = 229,422 : x
  2. Step 2: Convert to fraction form
    147,890/229,422 = 229,422/x
  3. Step 3: Cross multiply
    147,890x = 229,422 × 229,422
  4. Step 4: Simplify right side
    147,890x = 52,634,454,084
  5. Step 5: Solve for x
    x = 52,634,454,084/147,890
  6. Step 6: Final answer
    x = 355,902.73

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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.