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Finding the Third Proportional to 84,626 and 183,841

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Solution

The third proportional to 84,626 and 183,841 is: 399,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,626 : 183,841 = 183,841 : x
  2. Step 2: Convert to fraction form
    84,626/183,841 = 183,841/x
  3. Step 3: Cross multiply
    84,626x = 183,841 × 183,841
  4. Step 4: Simplify right side
    84,626x = 33,797,513,281
  5. Step 5: Solve for x
    x = 33,797,513,281/84,626
  6. Step 6: Final answer
    x = 399,375.05

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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.