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Finding the Third Proportional to 155,868 and 335,574

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Solution

The third proportional to 155,868 and 335,574 is: 722,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,868 : 335,574 = 335,574 : x
  2. Step 2: Convert to fraction form
    155,868/335,574 = 335,574/x
  3. Step 3: Cross multiply
    155,868x = 335,574 × 335,574
  4. Step 4: Simplify right side
    155,868x = 112,609,909,476
  5. Step 5: Solve for x
    x = 112,609,909,476/155,868
  6. Step 6: Final answer
    x = 722,469.71

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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.