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Finding the Third Proportional to 89,778 and 185,394

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Solution

The third proportional to 89,778 and 185,394 is: 382,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,778 : 185,394 = 185,394 : x
  2. Step 2: Convert to fraction form
    89,778/185,394 = 185,394/x
  3. Step 3: Cross multiply
    89,778x = 185,394 × 185,394
  4. Step 4: Simplify right side
    89,778x = 34,370,935,236
  5. Step 5: Solve for x
    x = 34,370,935,236/89,778
  6. Step 6: Final answer
    x = 382,843.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.