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Finding the Third Proportional to 187.41 and 263.72

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Solution

The third proportional to 187.41 and 263.72 is: 371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.41 : 263.72 = 263.72 : x
  2. Step 2: Convert to fraction form
    187.41/263.72 = 263.72/x
  3. Step 3: Cross multiply
    187.41x = 263.72 × 263.72
  4. Step 4: Simplify right side
    187.41x = 69,547.58
  5. Step 5: Solve for x
    x = 69,547.58/187.41
  6. Step 6: Final answer
    x = 371.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.