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Finding the Third Proportional to 175,002 and 382,080

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Solution

The third proportional to 175,002 and 382,080 is: 834,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,002 : 382,080 = 382,080 : x
  2. Step 2: Convert to fraction form
    175,002/382,080 = 382,080/x
  3. Step 3: Cross multiply
    175,002x = 382,080 × 382,080
  4. Step 4: Simplify right side
    175,002x = 145,985,126,400
  5. Step 5: Solve for x
    x = 145,985,126,400/175,002
  6. Step 6: Final answer
    x = 834,191.19

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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.