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Finding the Third Proportional to 267,224.63 and 401,188.50

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Solution

The third proportional to 267,224.63 and 401,188.50 is: 602,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,224.63 : 401,188.50 = 401,188.50 : x
  2. Step 2: Convert to fraction form
    267,224.63/401,188.50 = 401,188.50/x
  3. Step 3: Cross multiply
    267,224.63x = 401,188.50 × 401,188.50
  4. Step 4: Simplify right side
    267,224.63x = 160,952,212,532.25
  5. Step 5: Solve for x
    x = 160,952,212,532.25/267,224.63
  6. Step 6: Final answer
    x = 602,310.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.