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Finding the Third Proportional to 144,474.75 and 191,701.69

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Solution

The third proportional to 144,474.75 and 191,701.69 is: 254,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,474.75 : 191,701.69 = 191,701.69 : x
  2. Step 2: Convert to fraction form
    144,474.75/191,701.69 = 191,701.69/x
  3. Step 3: Cross multiply
    144,474.75x = 191,701.69 × 191,701.69
  4. Step 4: Simplify right side
    144,474.75x = 36,749,536,990.35
  5. Step 5: Solve for x
    x = 36,749,536,990.35/144,474.75
  6. Step 6: Final answer
    x = 254,366.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.