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Finding the Third Proportional to 82,328.06 and 171,115.88

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Solution

The third proportional to 82,328.06 and 171,115.88 is: 355,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,328.06 : 171,115.88 = 171,115.88 : x
  2. Step 2: Convert to fraction form
    82,328.06/171,115.88 = 171,115.88/x
  3. Step 3: Cross multiply
    82,328.06x = 171,115.88 × 171,115.88
  4. Step 4: Simplify right side
    82,328.06x = 29,280,642,677.02
  5. Step 5: Solve for x
    x = 29,280,642,677.02/82,328.06
  6. Step 6: Final answer
    x = 355,658.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.