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Finding the Third Proportional to 159,854 and 350,164

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Solution

The third proportional to 159,854 and 350,164 is: 767,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,854 : 350,164 = 350,164 : x
  2. Step 2: Convert to fraction form
    159,854/350,164 = 350,164/x
  3. Step 3: Cross multiply
    159,854x = 350,164 × 350,164
  4. Step 4: Simplify right side
    159,854x = 122,614,826,896
  5. Step 5: Solve for x
    x = 122,614,826,896/159,854
  6. Step 6: Final answer
    x = 767,042.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.