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Finding the Third Proportional to 172,083.80 and 369,078.33

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Solution

The third proportional to 172,083.80 and 369,078.33 is: 791,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,083.80 : 369,078.33 = 369,078.33 : x
  2. Step 2: Convert to fraction form
    172,083.80/369,078.33 = 369,078.33/x
  3. Step 3: Cross multiply
    172,083.80x = 369,078.33 × 369,078.33
  4. Step 4: Simplify right side
    172,083.80x = 136,218,812,291.55
  5. Step 5: Solve for x
    x = 136,218,812,291.55/172,083.80
  6. Step 6: Final answer
    x = 791,584.19

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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.