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Finding the Third Proportional to 84,288 and 185,548

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Solution

The third proportional to 84,288 and 185,548 is: 408,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,288 : 185,548 = 185,548 : x
  2. Step 2: Convert to fraction form
    84,288/185,548 = 185,548/x
  3. Step 3: Cross multiply
    84,288x = 185,548 × 185,548
  4. Step 4: Simplify right side
    84,288x = 34,428,060,304
  5. Step 5: Solve for x
    x = 34,428,060,304/84,288
  6. Step 6: Final answer
    x = 408,457.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.