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Finding the Third Proportional to 70,244 and 152,200

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Solution

The third proportional to 70,244 and 152,200 is: 329,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,244 : 152,200 = 152,200 : x
  2. Step 2: Convert to fraction form
    70,244/152,200 = 152,200/x
  3. Step 3: Cross multiply
    70,244x = 152,200 × 152,200
  4. Step 4: Simplify right side
    70,244x = 23,164,840,000
  5. Step 5: Solve for x
    x = 23,164,840,000/70,244
  6. Step 6: Final answer
    x = 329,776.78

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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.