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Finding the Third Proportional to 192,870 and 430,452

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Solution

The third proportional to 192,870 and 430,452 is: 960,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,870 : 430,452 = 430,452 : x
  2. Step 2: Convert to fraction form
    192,870/430,452 = 430,452/x
  3. Step 3: Cross multiply
    192,870x = 430,452 × 430,452
  4. Step 4: Simplify right side
    192,870x = 185,288,924,304
  5. Step 5: Solve for x
    x = 185,288,924,304/192,870
  6. Step 6: Final answer
    x = 960,693.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.