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Finding the Third Proportional to 70,418 and 152,980

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Solution

The third proportional to 70,418 and 152,980 is: 332,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,418 : 152,980 = 152,980 : x
  2. Step 2: Convert to fraction form
    70,418/152,980 = 152,980/x
  3. Step 3: Cross multiply
    70,418x = 152,980 × 152,980
  4. Step 4: Simplify right side
    70,418x = 23,402,880,400
  5. Step 5: Solve for x
    x = 23,402,880,400/70,418
  6. Step 6: Final answer
    x = 332,342.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.