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Finding the Third Proportional to 187.41 and 433.17

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Solution

The third proportional to 187.41 and 433.17 is: 1,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.41 : 433.17 = 433.17 : x
  2. Step 2: Convert to fraction form
    187.41/433.17 = 433.17/x
  3. Step 3: Cross multiply
    187.41x = 433.17 × 433.17
  4. Step 4: Simplify right side
    187.41x = 187,637.87
  5. Step 5: Solve for x
    x = 187,637.87/187.41
  6. Step 6: Final answer
    x = 1,001.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.