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Finding the Third Proportional to 95,188 and 176,280

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Solution

The third proportional to 95,188 and 176,280 is: 326,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,188 : 176,280 = 176,280 : x
  2. Step 2: Convert to fraction form
    95,188/176,280 = 176,280/x
  3. Step 3: Cross multiply
    95,188x = 176,280 × 176,280
  4. Step 4: Simplify right side
    95,188x = 31,074,638,400
  5. Step 5: Solve for x
    x = 31,074,638,400/95,188
  6. Step 6: Final answer
    x = 326,455.42

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.