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Finding the Third Proportional to 250,228 and 368,722

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Solution

The third proportional to 250,228 and 368,722 is: 543,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,228 : 368,722 = 368,722 : x
  2. Step 2: Convert to fraction form
    250,228/368,722 = 368,722/x
  3. Step 3: Cross multiply
    250,228x = 368,722 × 368,722
  4. Step 4: Simplify right side
    250,228x = 135,955,913,284
  5. Step 5: Solve for x
    x = 135,955,913,284/250,228
  6. Step 6: Final answer
    x = 543,328.14

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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.