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Finding the Third Proportional to 198,304 and 302,102

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Solution

The third proportional to 198,304 and 302,102 is: 460,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,304 : 302,102 = 302,102 : x
  2. Step 2: Convert to fraction form
    198,304/302,102 = 302,102/x
  3. Step 3: Cross multiply
    198,304x = 302,102 × 302,102
  4. Step 4: Simplify right side
    198,304x = 91,265,618,404
  5. Step 5: Solve for x
    x = 91,265,618,404/198,304
  6. Step 6: Final answer
    x = 460,230.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.