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Finding the Third Proportional to 190,549.50 and 267,608.25

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Solution

The third proportional to 190,549.50 and 267,608.25 is: 375,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,549.50 : 267,608.25 = 267,608.25 : x
  2. Step 2: Convert to fraction form
    190,549.50/267,608.25 = 267,608.25/x
  3. Step 3: Cross multiply
    190,549.50x = 267,608.25 × 267,608.25
  4. Step 4: Simplify right side
    190,549.50x = 71,614,175,468.06
  5. Step 5: Solve for x
    x = 71,614,175,468.06/190,549.50
  6. Step 6: Final answer
    x = 375,829.77

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Why These Related Problems?

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