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Finding the Third Proportional to 250,218 and 368,711

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Solution

The third proportional to 250,218 and 368,711 is: 543,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,218 : 368,711 = 368,711 : x
  2. Step 2: Convert to fraction form
    250,218/368,711 = 368,711/x
  3. Step 3: Cross multiply
    250,218x = 368,711 × 368,711
  4. Step 4: Simplify right side
    250,218x = 135,947,801,521
  5. Step 5: Solve for x
    x = 135,947,801,521/250,218
  6. Step 6: Final answer
    x = 543,317.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.