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Finding the Third Proportional to 268,167.38 and 397,612.13

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Solution

The third proportional to 268,167.38 and 397,612.13 is: 589,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,167.38 : 397,612.13 = 397,612.13 : x
  2. Step 2: Convert to fraction form
    268,167.38/397,612.13 = 397,612.13/x
  3. Step 3: Cross multiply
    268,167.38x = 397,612.13 × 397,612.13
  4. Step 4: Simplify right side
    268,167.38x = 158,095,401,947.02
  5. Step 5: Solve for x
    x = 158,095,401,947.02/268,167.38
  6. Step 6: Final answer
    x = 589,540.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.