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Finding the Third Proportional to 171,166.92 and 369,397.97

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Solution

The third proportional to 171,166.92 and 369,397.97 is: 797,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,166.92 : 369,397.97 = 369,397.97 : x
  2. Step 2: Convert to fraction form
    171,166.92/369,397.97 = 369,397.97/x
  3. Step 3: Cross multiply
    171,166.92x = 369,397.97 × 369,397.97
  4. Step 4: Simplify right side
    171,166.92x = 136,454,859,316.63
  5. Step 5: Solve for x
    x = 136,454,859,316.63/171,166.92
  6. Step 6: Final answer
    x = 797,203.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.