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Finding the Third Proportional to 86,434 and 187,624

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Solution

The third proportional to 86,434 and 187,624 is: 407,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,434 : 187,624 = 187,624 : x
  2. Step 2: Convert to fraction form
    86,434/187,624 = 187,624/x
  3. Step 3: Cross multiply
    86,434x = 187,624 × 187,624
  4. Step 4: Simplify right side
    86,434x = 35,202,765,376
  5. Step 5: Solve for x
    x = 35,202,765,376/86,434
  6. Step 6: Final answer
    x = 407,279.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.