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Finding the Third Proportional to 250,216 and 368,704

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Solution

The third proportional to 250,216 and 368,704 is: 543,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,216 : 368,704 = 368,704 : x
  2. Step 2: Convert to fraction form
    250,216/368,704 = 368,704/x
  3. Step 3: Cross multiply
    250,216x = 368,704 × 368,704
  4. Step 4: Simplify right side
    250,216x = 135,942,639,616
  5. Step 5: Solve for x
    x = 135,942,639,616/250,216
  6. Step 6: Final answer
    x = 543,301.15

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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.