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Finding the Third Proportional to 140,942.25 and 215,878.50

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Solution

The third proportional to 140,942.25 and 215,878.50 is: 330,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,942.25 : 215,878.50 = 215,878.50 : x
  2. Step 2: Convert to fraction form
    140,942.25/215,878.50 = 215,878.50/x
  3. Step 3: Cross multiply
    140,942.25x = 215,878.50 × 215,878.50
  4. Step 4: Simplify right side
    140,942.25x = 46,603,526,762.25
  5. Step 5: Solve for x
    x = 46,603,526,762.25/140,942.25
  6. Step 6: Final answer
    x = 330,656.90

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.