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Finding the Third Proportional to 70,406 and 156,364

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Solution

The third proportional to 70,406 and 156,364 is: 347,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,406 : 156,364 = 156,364 : x
  2. Step 2: Convert to fraction form
    70,406/156,364 = 156,364/x
  3. Step 3: Cross multiply
    70,406x = 156,364 × 156,364
  4. Step 4: Simplify right side
    70,406x = 24,449,700,496
  5. Step 5: Solve for x
    x = 24,449,700,496/70,406
  6. Step 6: Final answer
    x = 347,267.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.