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Finding the Third Proportional to 84,608 and 200,441

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Solution

The third proportional to 84,608 and 200,441 is: 474,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,608 : 200,441 = 200,441 : x
  2. Step 2: Convert to fraction form
    84,608/200,441 = 200,441/x
  3. Step 3: Cross multiply
    84,608x = 200,441 × 200,441
  4. Step 4: Simplify right side
    84,608x = 40,176,594,481
  5. Step 5: Solve for x
    x = 40,176,594,481/84,608
  6. Step 6: Final answer
    x = 474,855.74

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.