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Finding the Third Proportional to 268,356.38 and 363,161.81

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Solution

The third proportional to 268,356.38 and 363,161.81 is: 491,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,356.38 : 363,161.81 = 363,161.81 : x
  2. Step 2: Convert to fraction form
    268,356.38/363,161.81 = 363,161.81/x
  3. Step 3: Cross multiply
    268,356.38x = 363,161.81 × 363,161.81
  4. Step 4: Simplify right side
    268,356.38x = 131,886,502,058.29
  5. Step 5: Solve for x
    x = 131,886,502,058.29/268,356.38
  6. Step 6: Final answer
    x = 491,460.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.