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Finding the Third Proportional to 185,814 and 274,347

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Solution

The third proportional to 185,814 and 274,347 is: 405,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,814 : 274,347 = 274,347 : x
  2. Step 2: Convert to fraction form
    185,814/274,347 = 274,347/x
  3. Step 3: Cross multiply
    185,814x = 274,347 × 274,347
  4. Step 4: Simplify right side
    185,814x = 75,266,276,409
  5. Step 5: Solve for x
    x = 75,266,276,409/185,814
  6. Step 6: Final answer
    x = 405,062.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.