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Finding the Third Proportional to 190,610 and 267,770

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Solution

The third proportional to 190,610 and 267,770 is: 376,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,610 : 267,770 = 267,770 : x
  2. Step 2: Convert to fraction form
    190,610/267,770 = 267,770/x
  3. Step 3: Cross multiply
    190,610x = 267,770 × 267,770
  4. Step 4: Simplify right side
    190,610x = 71,700,772,900
  5. Step 5: Solve for x
    x = 71,700,772,900/190,610
  6. Step 6: Final answer
    x = 376,164.80

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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.