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Finding the Third Proportional to 140,754.50 and 205,660.50

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Solution

The third proportional to 140,754.50 and 205,660.50 is: 300,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,754.50 : 205,660.50 = 205,660.50 : x
  2. Step 2: Convert to fraction form
    140,754.50/205,660.50 = 205,660.50/x
  3. Step 3: Cross multiply
    140,754.50x = 205,660.50 × 205,660.50
  4. Step 4: Simplify right side
    140,754.50x = 42,296,241,260.25
  5. Step 5: Solve for x
    x = 42,296,241,260.25/140,754.50
  6. Step 6: Final answer
    x = 300,496.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.