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Finding the Third Proportional to 252,088 and 378,132

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Solution

The third proportional to 252,088 and 378,132 is: 567,198

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,088 : 378,132 = 378,132 : x
  2. Step 2: Convert to fraction form
    252,088/378,132 = 378,132/x
  3. Step 3: Cross multiply
    252,088x = 378,132 × 378,132
  4. Step 4: Simplify right side
    252,088x = 142,983,809,424
  5. Step 5: Solve for x
    x = 142,983,809,424/252,088
  6. Step 6: Final answer
    x = 567,198

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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.