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Finding the Third Proportional to 143,840.50 and 225,643.50

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Solution

The third proportional to 143,840.50 and 225,643.50 is: 353,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,840.50 : 225,643.50 = 225,643.50 : x
  2. Step 2: Convert to fraction form
    143,840.50/225,643.50 = 225,643.50/x
  3. Step 3: Cross multiply
    143,840.50x = 225,643.50 × 225,643.50
  4. Step 4: Simplify right side
    143,840.50x = 50,914,989,092.25
  5. Step 5: Solve for x
    x = 50,914,989,092.25/143,840.50
  6. Step 6: Final answer
    x = 353,968.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.