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Finding the Third Proportional to 85,323 and 186,174

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Solution

The third proportional to 85,323 and 186,174 is: 406,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,323 : 186,174 = 186,174 : x
  2. Step 2: Convert to fraction form
    85,323/186,174 = 186,174/x
  3. Step 3: Cross multiply
    85,323x = 186,174 × 186,174
  4. Step 4: Simplify right side
    85,323x = 34,660,758,276
  5. Step 5: Solve for x
    x = 34,660,758,276/85,323
  6. Step 6: Final answer
    x = 406,229.95

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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.