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Finding the Third Proportional to 250,224 and 368,716

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Solution

The third proportional to 250,224 and 368,716 is: 543,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,224 : 368,716 = 368,716 : x
  2. Step 2: Convert to fraction form
    250,224/368,716 = 368,716/x
  3. Step 3: Cross multiply
    250,224x = 368,716 × 368,716
  4. Step 4: Simplify right side
    250,224x = 135,951,488,656
  5. Step 5: Solve for x
    x = 135,951,488,656/250,224
  6. Step 6: Final answer
    x = 543,319.14

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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.