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Finding the Third Proportional to 90,406 and 183,364

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Solution

The third proportional to 90,406 and 183,364 is: 371,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,406 : 183,364 = 183,364 : x
  2. Step 2: Convert to fraction form
    90,406/183,364 = 183,364/x
  3. Step 3: Cross multiply
    90,406x = 183,364 × 183,364
  4. Step 4: Simplify right side
    90,406x = 33,622,356,496
  5. Step 5: Solve for x
    x = 33,622,356,496/90,406
  6. Step 6: Final answer
    x = 371,904.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.