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Finding the Third Proportional to 240,126 and 347,791.50

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Solution

The third proportional to 240,126 and 347,791.50 is: 503,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,126 : 347,791.50 = 347,791.50 : x
  2. Step 2: Convert to fraction form
    240,126/347,791.50 = 347,791.50/x
  3. Step 3: Cross multiply
    240,126x = 347,791.50 × 347,791.50
  4. Step 4: Simplify right side
    240,126x = 120,958,927,472.25
  5. Step 5: Solve for x
    x = 120,958,927,472.25/240,126
  6. Step 6: Final answer
    x = 503,731.07

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.