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Finding the Third Proportional to 175,179.38 and 382,017.09

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Solution

The third proportional to 175,179.38 and 382,017.09 is: 833,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,179.38 : 382,017.09 = 382,017.09 : x
  2. Step 2: Convert to fraction form
    175,179.38/382,017.09 = 382,017.09/x
  3. Step 3: Cross multiply
    175,179.38x = 382,017.09 × 382,017.09
  4. Step 4: Simplify right side
    175,179.38x = 145,937,059,917.20
  5. Step 5: Solve for x
    x = 145,937,059,917.20/175,179.38
  6. Step 6: Final answer
    x = 833,072.16

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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.