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Finding the Third Proportional to 86,024 and 202,396

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Solution

The third proportional to 86,024 and 202,396 is: 476,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,024 : 202,396 = 202,396 : x
  2. Step 2: Convert to fraction form
    86,024/202,396 = 202,396/x
  3. Step 3: Cross multiply
    86,024x = 202,396 × 202,396
  4. Step 4: Simplify right side
    86,024x = 40,964,140,816
  5. Step 5: Solve for x
    x = 40,964,140,816/86,024
  6. Step 6: Final answer
    x = 476,194.33

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.