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Finding the Third Proportional to 82.34 and 177.13

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Solution

The third proportional to 82.34 and 177.13 is: 381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.34 : 177.13 = 177.13 : x
  2. Step 2: Convert to fraction form
    82.34/177.13 = 177.13/x
  3. Step 3: Cross multiply
    82.34x = 177.13 × 177.13
  4. Step 4: Simplify right side
    82.34x = 31,373.27
  5. Step 5: Solve for x
    x = 31,373.27/82.34
  6. Step 6: Final answer
    x = 381.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.