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Finding the Third Proportional to 155,737 and 335,166

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Solution

The third proportional to 155,737 and 335,166 is: 721,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,737 : 335,166 = 335,166 : x
  2. Step 2: Convert to fraction form
    155,737/335,166 = 335,166/x
  3. Step 3: Cross multiply
    155,737x = 335,166 × 335,166
  4. Step 4: Simplify right side
    155,737x = 112,336,247,556
  5. Step 5: Solve for x
    x = 112,336,247,556/155,737
  6. Step 6: Final answer
    x = 721,320.22

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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.