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Finding the Third Proportional to 187.06 and 382.94

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Solution

The third proportional to 187.06 and 382.94 is: 783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.06 : 382.94 = 382.94 : x
  2. Step 2: Convert to fraction form
    187.06/382.94 = 382.94/x
  3. Step 3: Cross multiply
    187.06x = 382.94 × 382.94
  4. Step 4: Simplify right side
    187.06x = 146,641.13
  5. Step 5: Solve for x
    x = 146,641.13/187.06
  6. Step 6: Final answer
    x = 783.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.