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Finding the Third Proportional to 169,059.50 and 356,981

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Solution

The third proportional to 169,059.50 and 356,981 is: 753,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,059.50 : 356,981 = 356,981 : x
  2. Step 2: Convert to fraction form
    169,059.50/356,981 = 356,981/x
  3. Step 3: Cross multiply
    169,059.50x = 356,981 × 356,981
  4. Step 4: Simplify right side
    169,059.50x = 127,435,434,361
  5. Step 5: Solve for x
    x = 127,435,434,361/169,059.50
  6. Step 6: Final answer
    x = 753,790.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.