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Finding the Third Proportional to 70,402 and 156,356

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Solution

The third proportional to 70,402 and 156,356 is: 347,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,402 : 156,356 = 156,356 : x
  2. Step 2: Convert to fraction form
    70,402/156,356 = 156,356/x
  3. Step 3: Cross multiply
    70,402x = 156,356 × 156,356
  4. Step 4: Simplify right side
    70,402x = 24,447,198,736
  5. Step 5: Solve for x
    x = 24,447,198,736/70,402
  6. Step 6: Final answer
    x = 347,251.48

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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.