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Finding the Third Proportional to 156,759 and 234,771

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Solution

The third proportional to 156,759 and 234,771 is: 351,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,759 : 234,771 = 234,771 : x
  2. Step 2: Convert to fraction form
    156,759/234,771 = 234,771/x
  3. Step 3: Cross multiply
    156,759x = 234,771 × 234,771
  4. Step 4: Simplify right side
    156,759x = 55,117,422,441
  5. Step 5: Solve for x
    x = 55,117,422,441/156,759
  6. Step 6: Final answer
    x = 351,606.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.