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Finding the Third Proportional to 85,327 and 186,207

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Solution

The third proportional to 85,327 and 186,207 is: 406,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,327 : 186,207 = 186,207 : x
  2. Step 2: Convert to fraction form
    85,327/186,207 = 186,207/x
  3. Step 3: Cross multiply
    85,327x = 186,207 × 186,207
  4. Step 4: Simplify right side
    85,327x = 34,673,046,849
  5. Step 5: Solve for x
    x = 34,673,046,849/85,327
  6. Step 6: Final answer
    x = 406,354.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.