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Finding the Third Proportional to 168,581.25 and 368,226

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Solution

The third proportional to 168,581.25 and 368,226 is: 804,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,581.25 : 368,226 = 368,226 : x
  2. Step 2: Convert to fraction form
    168,581.25/368,226 = 368,226/x
  3. Step 3: Cross multiply
    168,581.25x = 368,226 × 368,226
  4. Step 4: Simplify right side
    168,581.25x = 135,590,387,076
  5. Step 5: Solve for x
    x = 135,590,387,076/168,581.25
  6. Step 6: Final answer
    x = 804,302.89

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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.