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Finding the Third Proportional to 86,792 and 180,494

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Solution

The third proportional to 86,792 and 180,494 is: 375,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,792 : 180,494 = 180,494 : x
  2. Step 2: Convert to fraction form
    86,792/180,494 = 180,494/x
  3. Step 3: Cross multiply
    86,792x = 180,494 × 180,494
  4. Step 4: Simplify right side
    86,792x = 32,578,084,036
  5. Step 5: Solve for x
    x = 32,578,084,036/86,792
  6. Step 6: Final answer
    x = 375,358.14

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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.