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Finding the Third Proportional to 86,418 and 187,308

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Solution

The third proportional to 86,418 and 187,308 is: 405,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,418 : 187,308 = 187,308 : x
  2. Step 2: Convert to fraction form
    86,418/187,308 = 187,308/x
  3. Step 3: Cross multiply
    86,418x = 187,308 × 187,308
  4. Step 4: Simplify right side
    86,418x = 35,084,286,864
  5. Step 5: Solve for x
    x = 35,084,286,864/86,418
  6. Step 6: Final answer
    x = 405,983.56

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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.