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Finding the Third Proportional to 82,255 and 176,987

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Solution

The third proportional to 82,255 and 176,987 is: 380,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,255 : 176,987 = 176,987 : x
  2. Step 2: Convert to fraction form
    82,255/176,987 = 176,987/x
  3. Step 3: Cross multiply
    82,255x = 176,987 × 176,987
  4. Step 4: Simplify right side
    82,255x = 31,324,398,169
  5. Step 5: Solve for x
    x = 31,324,398,169/82,255
  6. Step 6: Final answer
    x = 380,820.60

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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.