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Finding the Third Proportional to 82,220 and 179,817

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Solution

The third proportional to 82,220 and 179,817 is: 393,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,220 : 179,817 = 179,817 : x
  2. Step 2: Convert to fraction form
    82,220/179,817 = 179,817/x
  3. Step 3: Cross multiply
    82,220x = 179,817 × 179,817
  4. Step 4: Simplify right side
    82,220x = 32,334,153,489
  5. Step 5: Solve for x
    x = 32,334,153,489/82,220
  6. Step 6: Final answer
    x = 393,263.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.