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Finding the Third Proportional to 187.88 and 419.13

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Solution

The third proportional to 187.88 and 419.13 is: 935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.88 : 419.13 = 419.13 : x
  2. Step 2: Convert to fraction form
    187.88/419.13 = 419.13/x
  3. Step 3: Cross multiply
    187.88x = 419.13 × 419.13
  4. Step 4: Simplify right side
    187.88x = 175,665.77
  5. Step 5: Solve for x
    x = 175,665.77/187.88
  6. Step 6: Final answer
    x = 935.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.