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Finding the Third Proportional to 80,394 and 175,070

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Solution

The third proportional to 80,394 and 175,070 is: 381,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,394 : 175,070 = 175,070 : x
  2. Step 2: Convert to fraction form
    80,394/175,070 = 175,070/x
  3. Step 3: Cross multiply
    80,394x = 175,070 × 175,070
  4. Step 4: Simplify right side
    80,394x = 30,649,504,900
  5. Step 5: Solve for x
    x = 30,649,504,900/80,394
  6. Step 6: Final answer
    x = 381,241.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.