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Finding the Third Proportional to 84,610 and 183,364

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Solution

The third proportional to 84,610 and 183,364 is: 397,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,610 : 183,364 = 183,364 : x
  2. Step 2: Convert to fraction form
    84,610/183,364 = 183,364/x
  3. Step 3: Cross multiply
    84,610x = 183,364 × 183,364
  4. Step 4: Simplify right side
    84,610x = 33,622,356,496
  5. Step 5: Solve for x
    x = 33,622,356,496/84,610
  6. Step 6: Final answer
    x = 397,380.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.