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Finding the Third Proportional to 175,287.38 and 382,995

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Solution

The third proportional to 175,287.38 and 382,995 is: 836,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,287.38 : 382,995 = 382,995 : x
  2. Step 2: Convert to fraction form
    175,287.38/382,995 = 382,995/x
  3. Step 3: Cross multiply
    175,287.38x = 382,995 × 382,995
  4. Step 4: Simplify right side
    175,287.38x = 146,685,170,025
  5. Step 5: Solve for x
    x = 146,685,170,025/175,287.38
  6. Step 6: Final answer
    x = 836,826.78

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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.