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Finding the Third Proportional to 143,319 and 200,452.50

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Solution

The third proportional to 143,319 and 200,452.50 is: 280,362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,319 : 200,452.50 = 200,452.50 : x
  2. Step 2: Convert to fraction form
    143,319/200,452.50 = 200,452.50/x
  3. Step 3: Cross multiply
    143,319x = 200,452.50 × 200,452.50
  4. Step 4: Simplify right side
    143,319x = 40,181,204,756.25
  5. Step 5: Solve for x
    x = 40,181,204,756.25/143,319
  6. Step 6: Final answer
    x = 280,362.02

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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.