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Finding the Third Proportional to 159,212.81 and 255,657.94

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Solution

The third proportional to 159,212.81 and 255,657.94 is: 410,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,212.81 : 255,657.94 = 255,657.94 : x
  2. Step 2: Convert to fraction form
    159,212.81/255,657.94 = 255,657.94/x
  3. Step 3: Cross multiply
    159,212.81x = 255,657.94 × 255,657.94
  4. Step 4: Simplify right side
    159,212.81x = 65,360,981,006.75
  5. Step 5: Solve for x
    x = 65,360,981,006.75/159,212.81
  6. Step 6: Final answer
    x = 410,525.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.