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Finding the Third Proportional to 183,606 and 400,908

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Solution

The third proportional to 183,606 and 400,908 is: 875,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,606 : 400,908 = 400,908 : x
  2. Step 2: Convert to fraction form
    183,606/400,908 = 400,908/x
  3. Step 3: Cross multiply
    183,606x = 400,908 × 400,908
  4. Step 4: Simplify right side
    183,606x = 160,727,224,464
  5. Step 5: Solve for x
    x = 160,727,224,464/183,606
  6. Step 6: Final answer
    x = 875,392.00

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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.