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Finding the Third Proportional to 70,840 and 154,558

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Solution

The third proportional to 70,840 and 154,558 is: 337,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,840 : 154,558 = 154,558 : x
  2. Step 2: Convert to fraction form
    70,840/154,558 = 154,558/x
  3. Step 3: Cross multiply
    70,840x = 154,558 × 154,558
  4. Step 4: Simplify right side
    70,840x = 23,888,175,364
  5. Step 5: Solve for x
    x = 23,888,175,364/70,840
  6. Step 6: Final answer
    x = 337,213.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.