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Finding the Third Proportional to 187.52 and 404.26

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Solution

The third proportional to 187.52 and 404.26 is: 871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.52 : 404.26 = 404.26 : x
  2. Step 2: Convert to fraction form
    187.52/404.26 = 404.26/x
  3. Step 3: Cross multiply
    187.52x = 404.26 × 404.26
  4. Step 4: Simplify right side
    187.52x = 163,427.54
  5. Step 5: Solve for x
    x = 163,427.54/187.52
  6. Step 6: Final answer
    x = 871.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.