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Finding the Third Proportional to 112,326.50 and 241,778.50

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Solution

The third proportional to 112,326.50 and 241,778.50 is: 520,418.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,326.50 : 241,778.50 = 241,778.50 : x
  2. Step 2: Convert to fraction form
    112,326.50/241,778.50 = 241,778.50/x
  3. Step 3: Cross multiply
    112,326.50x = 241,778.50 × 241,778.50
  4. Step 4: Simplify right side
    112,326.50x = 58,456,843,062.25
  5. Step 5: Solve for x
    x = 58,456,843,062.25/112,326.50
  6. Step 6: Final answer
    x = 520,418.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.