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Finding the Third Proportional to 74,234 and 154,588

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Solution

The third proportional to 74,234 and 154,588 is: 321,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,234 : 154,588 = 154,588 : x
  2. Step 2: Convert to fraction form
    74,234/154,588 = 154,588/x
  3. Step 3: Cross multiply
    74,234x = 154,588 × 154,588
  4. Step 4: Simplify right side
    74,234x = 23,897,449,744
  5. Step 5: Solve for x
    x = 23,897,449,744/74,234
  6. Step 6: Final answer
    x = 321,920.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.