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Finding the Third Proportional to 82,802.25 and 178,718.91

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Solution

The third proportional to 82,802.25 and 178,718.91 is: 385,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,802.25 : 178,718.91 = 178,718.91 : x
  2. Step 2: Convert to fraction form
    82,802.25/178,718.91 = 178,718.91/x
  3. Step 3: Cross multiply
    82,802.25x = 178,718.91 × 178,718.91
  4. Step 4: Simplify right side
    82,802.25x = 31,940,447,451.20
  5. Step 5: Solve for x
    x = 31,940,447,451.20/82,802.25
  6. Step 6: Final answer
    x = 385,743.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.