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Finding the Third Proportional to 82,066.25 and 178,511.13

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Solution

The third proportional to 82,066.25 and 178,511.13 is: 388,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,066.25 : 178,511.13 = 178,511.13 : x
  2. Step 2: Convert to fraction form
    82,066.25/178,511.13 = 178,511.13/x
  3. Step 3: Cross multiply
    82,066.25x = 178,511.13 × 178,511.13
  4. Step 4: Simplify right side
    82,066.25x = 31,866,221,748.77
  5. Step 5: Solve for x
    x = 31,866,221,748.77/82,066.25
  6. Step 6: Final answer
    x = 388,298.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.