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Finding the Third Proportional to 172,081.13 and 369,072.91

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Solution

The third proportional to 172,081.13 and 369,072.91 is: 791,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,081.13 : 369,072.91 = 369,072.91 : x
  2. Step 2: Convert to fraction form
    172,081.13/369,072.91 = 369,072.91/x
  3. Step 3: Cross multiply
    172,081.13x = 369,072.91 × 369,072.91
  4. Step 4: Simplify right side
    172,081.13x = 136,214,815,894.59
  5. Step 5: Solve for x
    x = 136,214,815,894.59/172,081.13
  6. Step 6: Final answer
    x = 791,573.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.