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Finding the Third Proportional to 190,010 and 267,209

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Solution

The third proportional to 190,010 and 267,209 is: 375,773.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,010 : 267,209 = 267,209 : x
  2. Step 2: Convert to fraction form
    190,010/267,209 = 267,209/x
  3. Step 3: Cross multiply
    190,010x = 267,209 × 267,209
  4. Step 4: Simplify right side
    190,010x = 71,400,649,681
  5. Step 5: Solve for x
    x = 71,400,649,681/190,010
  6. Step 6: Final answer
    x = 375,773.12

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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.