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Finding the Third Proportional to 84,885 and 176,742

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Solution

The third proportional to 84,885 and 176,742 is: 368,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,885 : 176,742 = 176,742 : x
  2. Step 2: Convert to fraction form
    84,885/176,742 = 176,742/x
  3. Step 3: Cross multiply
    84,885x = 176,742 × 176,742
  4. Step 4: Simplify right side
    84,885x = 31,237,734,564
  5. Step 5: Solve for x
    x = 31,237,734,564/84,885
  6. Step 6: Final answer
    x = 368,000.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.