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Finding the Third Proportional to 234,321.50 and 354,769

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Solution

The third proportional to 234,321.50 and 354,769 is: 537,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,321.50 : 354,769 = 354,769 : x
  2. Step 2: Convert to fraction form
    234,321.50/354,769 = 354,769/x
  3. Step 3: Cross multiply
    234,321.50x = 354,769 × 354,769
  4. Step 4: Simplify right side
    234,321.50x = 125,861,043,361
  5. Step 5: Solve for x
    x = 125,861,043,361/234,321.50
  6. Step 6: Final answer
    x = 537,129.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.