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Finding the Third Proportional to 156,006 and 335,351.25

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Solution

The third proportional to 156,006 and 335,351.25 is: 720,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,006 : 335,351.25 = 335,351.25 : x
  2. Step 2: Convert to fraction form
    156,006/335,351.25 = 335,351.25/x
  3. Step 3: Cross multiply
    156,006x = 335,351.25 × 335,351.25
  4. Step 4: Simplify right side
    156,006x = 112,460,460,876.56
  5. Step 5: Solve for x
    x = 112,460,460,876.56/156,006
  6. Step 6: Final answer
    x = 720,872.66

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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.