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Finding the Third Proportional to 175,360 and 378,744

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Solution

The third proportional to 175,360 and 378,744 is: 818,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,360 : 378,744 = 378,744 : x
  2. Step 2: Convert to fraction form
    175,360/378,744 = 378,744/x
  3. Step 3: Cross multiply
    175,360x = 378,744 × 378,744
  4. Step 4: Simplify right side
    175,360x = 143,447,017,536
  5. Step 5: Solve for x
    x = 143,447,017,536/175,360
  6. Step 6: Final answer
    x = 818,014.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.