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Finding the Third Proportional to 84,174 and 185,844

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Solution

The third proportional to 84,174 and 185,844 is: 410,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,174 : 185,844 = 185,844 : x
  2. Step 2: Convert to fraction form
    84,174/185,844 = 185,844/x
  3. Step 3: Cross multiply
    84,174x = 185,844 × 185,844
  4. Step 4: Simplify right side
    84,174x = 34,537,992,336
  5. Step 5: Solve for x
    x = 34,537,992,336/84,174
  6. Step 6: Final answer
    x = 410,316.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.