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Finding the Third Proportional to 70,340 and 152,302

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Solution

The third proportional to 70,340 and 152,302 is: 329,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,340 : 152,302 = 152,302 : x
  2. Step 2: Convert to fraction form
    70,340/152,302 = 152,302/x
  3. Step 3: Cross multiply
    70,340x = 152,302 × 152,302
  4. Step 4: Simplify right side
    70,340x = 23,195,899,204
  5. Step 5: Solve for x
    x = 23,195,899,204/70,340
  6. Step 6: Final answer
    x = 329,768.26

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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.