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Finding the Third Proportional to 185,932 and 274,506

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Solution

The third proportional to 185,932 and 274,506 is: 405,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,932 : 274,506 = 274,506 : x
  2. Step 2: Convert to fraction form
    185,932/274,506 = 274,506/x
  3. Step 3: Cross multiply
    185,932x = 274,506 × 274,506
  4. Step 4: Simplify right side
    185,932x = 75,353,544,036
  5. Step 5: Solve for x
    x = 75,353,544,036/185,932
  6. Step 6: Final answer
    x = 405,274.75

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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.