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Finding the Third Proportional to 188,052.25 and 391,656.50

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Solution

The third proportional to 188,052.25 and 391,656.50 is: 815,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,052.25 : 391,656.50 = 391,656.50 : x
  2. Step 2: Convert to fraction form
    188,052.25/391,656.50 = 391,656.50/x
  3. Step 3: Cross multiply
    188,052.25x = 391,656.50 × 391,656.50
  4. Step 4: Simplify right side
    188,052.25x = 153,394,813,992.25
  5. Step 5: Solve for x
    x = 153,394,813,992.25/188,052.25
  6. Step 6: Final answer
    x = 815,703.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.