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Finding the Third Proportional to 74,589 and 163,353

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Solution

The third proportional to 74,589 and 163,353 is: 357,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,589 : 163,353 = 163,353 : x
  2. Step 2: Convert to fraction form
    74,589/163,353 = 163,353/x
  3. Step 3: Cross multiply
    74,589x = 163,353 × 163,353
  4. Step 4: Simplify right side
    74,589x = 26,684,202,609
  5. Step 5: Solve for x
    x = 26,684,202,609/74,589
  6. Step 6: Final answer
    x = 357,749.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.