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Finding the Third Proportional to 84,728 and 183,404

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Solution

The third proportional to 84,728 and 183,404 is: 397,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,728 : 183,404 = 183,404 : x
  2. Step 2: Convert to fraction form
    84,728/183,404 = 183,404/x
  3. Step 3: Cross multiply
    84,728x = 183,404 × 183,404
  4. Step 4: Simplify right side
    84,728x = 33,637,027,216
  5. Step 5: Solve for x
    x = 33,637,027,216/84,728
  6. Step 6: Final answer
    x = 397,000.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.