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Finding the Third Proportional to 86,600 and 186,352

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Solution

The third proportional to 86,600 and 186,352 is: 401,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,600 : 186,352 = 186,352 : x
  2. Step 2: Convert to fraction form
    86,600/186,352 = 186,352/x
  3. Step 3: Cross multiply
    86,600x = 186,352 × 186,352
  4. Step 4: Simplify right side
    86,600x = 34,727,067,904
  5. Step 5: Solve for x
    x = 34,727,067,904/86,600
  6. Step 6: Final answer
    x = 401,005.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.