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Finding the Third Proportional to 159,612.75 and 342,744.75

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Solution

The third proportional to 159,612.75 and 342,744.75 is: 735,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,612.75 : 342,744.75 = 342,744.75 : x
  2. Step 2: Convert to fraction form
    159,612.75/342,744.75 = 342,744.75/x
  3. Step 3: Cross multiply
    159,612.75x = 342,744.75 × 342,744.75
  4. Step 4: Simplify right side
    159,612.75x = 117,473,963,652.56
  5. Step 5: Solve for x
    x = 117,473,963,652.56/159,612.75
  6. Step 6: Final answer
    x = 735,993.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.