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Finding the Third Proportional to 77,418 and 168,930

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Solution

The third proportional to 77,418 and 168,930 is: 368,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,418 : 168,930 = 168,930 : x
  2. Step 2: Convert to fraction form
    77,418/168,930 = 168,930/x
  3. Step 3: Cross multiply
    77,418x = 168,930 × 168,930
  4. Step 4: Simplify right side
    77,418x = 28,537,344,900
  5. Step 5: Solve for x
    x = 28,537,344,900/77,418
  6. Step 6: Final answer
    x = 368,613.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.