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Finding the Third Proportional to 147,900 and 229,452

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Solution

The third proportional to 147,900 and 229,452 is: 355,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,900 : 229,452 = 229,452 : x
  2. Step 2: Convert to fraction form
    147,900/229,452 = 229,452/x
  3. Step 3: Cross multiply
    147,900x = 229,452 × 229,452
  4. Step 4: Simplify right side
    147,900x = 52,648,220,304
  5. Step 5: Solve for x
    x = 52,648,220,304/147,900
  6. Step 6: Final answer
    x = 355,971.74

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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.