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Finding the Third Proportional to 143,353.50 and 200,503.50

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Solution

The third proportional to 143,353.50 and 200,503.50 is: 280,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,353.50 : 200,503.50 = 200,503.50 : x
  2. Step 2: Convert to fraction form
    143,353.50/200,503.50 = 200,503.50/x
  3. Step 3: Cross multiply
    143,353.50x = 200,503.50 × 200,503.50
  4. Step 4: Simplify right side
    143,353.50x = 40,201,653,512.25
  5. Step 5: Solve for x
    x = 40,201,653,512.25/143,353.50
  6. Step 6: Final answer
    x = 280,437.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.