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Finding the Third Proportional to 250,398 and 388,233

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Solution

The third proportional to 250,398 and 388,233 is: 601,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,398 : 388,233 = 388,233 : x
  2. Step 2: Convert to fraction form
    250,398/388,233 = 388,233/x
  3. Step 3: Cross multiply
    250,398x = 388,233 × 388,233
  4. Step 4: Simplify right side
    250,398x = 150,724,862,289
  5. Step 5: Solve for x
    x = 150,724,862,289/250,398
  6. Step 6: Final answer
    x = 601,941.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.