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Finding the Third Proportional to 186,002 and 278,271

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Solution

The third proportional to 186,002 and 278,271 is: 416,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,002 : 278,271 = 278,271 : x
  2. Step 2: Convert to fraction form
    186,002/278,271 = 278,271/x
  3. Step 3: Cross multiply
    186,002x = 278,271 × 278,271
  4. Step 4: Simplify right side
    186,002x = 77,434,749,441
  5. Step 5: Solve for x
    x = 77,434,749,441/186,002
  6. Step 6: Final answer
    x = 416,311.38

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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.