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Finding the Third Proportional to 240,133.50 and 347,800.50

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Solution

The third proportional to 240,133.50 and 347,800.50 is: 503,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,133.50 : 347,800.50 = 347,800.50 : x
  2. Step 2: Convert to fraction form
    240,133.50/347,800.50 = 347,800.50/x
  3. Step 3: Cross multiply
    240,133.50x = 347,800.50 × 347,800.50
  4. Step 4: Simplify right side
    240,133.50x = 120,965,187,800.25
  5. Step 5: Solve for x
    x = 120,965,187,800.25/240,133.50
  6. Step 6: Final answer
    x = 503,741.41

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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.