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Finding the Third Proportional to 84,296.25 and 181,703.25

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Solution

The third proportional to 84,296.25 and 181,703.25 is: 391,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,296.25 : 181,703.25 = 181,703.25 : x
  2. Step 2: Convert to fraction form
    84,296.25/181,703.25 = 181,703.25/x
  3. Step 3: Cross multiply
    84,296.25x = 181,703.25 × 181,703.25
  4. Step 4: Simplify right side
    84,296.25x = 33,016,071,060.56
  5. Step 5: Solve for x
    x = 33,016,071,060.56/84,296.25
  6. Step 6: Final answer
    x = 391,667.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.