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Finding the Third Proportional to 104,593 and 215,377

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Solution

The third proportional to 104,593 and 215,377 is: 443,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,593 : 215,377 = 215,377 : x
  2. Step 2: Convert to fraction form
    104,593/215,377 = 215,377/x
  3. Step 3: Cross multiply
    104,593x = 215,377 × 215,377
  4. Step 4: Simplify right side
    104,593x = 46,387,252,129
  5. Step 5: Solve for x
    x = 46,387,252,129/104,593
  6. Step 6: Final answer
    x = 443,502.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.