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Finding the Third Proportional to 84,247 and 183,257

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Solution

The third proportional to 84,247 and 183,257 is: 398,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,247 : 183,257 = 183,257 : x
  2. Step 2: Convert to fraction form
    84,247/183,257 = 183,257/x
  3. Step 3: Cross multiply
    84,247x = 183,257 × 183,257
  4. Step 4: Simplify right side
    84,247x = 33,583,128,049
  5. Step 5: Solve for x
    x = 33,583,128,049/84,247
  6. Step 6: Final answer
    x = 398,626.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.