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Finding the Third Proportional to 84,507.75 and 179,788.50

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Solution

The third proportional to 84,507.75 and 179,788.50 is: 382,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,507.75 : 179,788.50 = 179,788.50 : x
  2. Step 2: Convert to fraction form
    84,507.75/179,788.50 = 179,788.50/x
  3. Step 3: Cross multiply
    84,507.75x = 179,788.50 × 179,788.50
  4. Step 4: Simplify right side
    84,507.75x = 32,323,904,732.25
  5. Step 5: Solve for x
    x = 32,323,904,732.25/84,507.75
  6. Step 6: Final answer
    x = 382,496.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.