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Finding the Third Proportional to 74,381.34 and 163,523.25

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Solution

The third proportional to 74,381.34 and 163,523.25 is: 359,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,381.34 : 163,523.25 = 163,523.25 : x
  2. Step 2: Convert to fraction form
    74,381.34/163,523.25 = 163,523.25/x
  3. Step 3: Cross multiply
    74,381.34x = 163,523.25 × 163,523.25
  4. Step 4: Simplify right side
    74,381.34x = 26,739,853,290.56
  5. Step 5: Solve for x
    x = 26,739,853,290.56/74,381.34
  6. Step 6: Final answer
    x = 359,496.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.