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Finding the Third Proportional to 84,774 and 176,540

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Solution

The third proportional to 84,774 and 176,540 is: 367,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,774 : 176,540 = 176,540 : x
  2. Step 2: Convert to fraction form
    84,774/176,540 = 176,540/x
  3. Step 3: Cross multiply
    84,774x = 176,540 × 176,540
  4. Step 4: Simplify right side
    84,774x = 31,166,371,600
  5. Step 5: Solve for x
    x = 31,166,371,600/84,774
  6. Step 6: Final answer
    x = 367,640.69

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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.