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Finding the Third Proportional to 190,009.50 and 267,243

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Solution

The third proportional to 190,009.50 and 267,243 is: 375,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,009.50 : 267,243 = 267,243 : x
  2. Step 2: Convert to fraction form
    190,009.50/267,243 = 267,243/x
  3. Step 3: Cross multiply
    190,009.50x = 267,243 × 267,243
  4. Step 4: Simplify right side
    190,009.50x = 71,418,821,049
  5. Step 5: Solve for x
    x = 71,418,821,049/190,009.50
  6. Step 6: Final answer
    x = 375,869.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.