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Finding the Third Proportional to 252,076 and 378,114

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Solution

The third proportional to 252,076 and 378,114 is: 567,171

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,076 : 378,114 = 378,114 : x
  2. Step 2: Convert to fraction form
    252,076/378,114 = 378,114/x
  3. Step 3: Cross multiply
    252,076x = 378,114 × 378,114
  4. Step 4: Simplify right side
    252,076x = 142,970,196,996
  5. Step 5: Solve for x
    x = 142,970,196,996/252,076
  6. Step 6: Final answer
    x = 567,171

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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.