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Finding the Third Proportional to 84,294 and 184,687

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Solution

The third proportional to 84,294 and 184,687 is: 404,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,294 : 184,687 = 184,687 : x
  2. Step 2: Convert to fraction form
    84,294/184,687 = 184,687/x
  3. Step 3: Cross multiply
    84,294x = 184,687 × 184,687
  4. Step 4: Simplify right side
    84,294x = 34,109,287,969
  5. Step 5: Solve for x
    x = 34,109,287,969/84,294
  6. Step 6: Final answer
    x = 404,646.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.