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Finding the Third Proportional to 156,749 and 234,759

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Solution

The third proportional to 156,749 and 234,759 is: 351,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,749 : 234,759 = 234,759 : x
  2. Step 2: Convert to fraction form
    156,749/234,759 = 234,759/x
  3. Step 3: Cross multiply
    156,749x = 234,759 × 234,759
  4. Step 4: Simplify right side
    156,749x = 55,111,788,081
  5. Step 5: Solve for x
    x = 55,111,788,081/156,749
  6. Step 6: Final answer
    x = 351,592.60

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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.