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Finding the Third Proportional to 252,080 and 378,120

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Solution

The third proportional to 252,080 and 378,120 is: 567,180

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,080 : 378,120 = 378,120 : x
  2. Step 2: Convert to fraction form
    252,080/378,120 = 378,120/x
  3. Step 3: Cross multiply
    252,080x = 378,120 × 378,120
  4. Step 4: Simplify right side
    252,080x = 142,974,734,400
  5. Step 5: Solve for x
    x = 142,974,734,400/252,080
  6. Step 6: Final answer
    x = 567,180

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.