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Finding the Third Proportional to 176,784 and 267,744

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Solution

The third proportional to 176,784 and 267,744 is: 405,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,784 : 267,744 = 267,744 : x
  2. Step 2: Convert to fraction form
    176,784/267,744 = 267,744/x
  3. Step 3: Cross multiply
    176,784x = 267,744 × 267,744
  4. Step 4: Simplify right side
    176,784x = 71,686,849,536
  5. Step 5: Solve for x
    x = 71,686,849,536/176,784
  6. Step 6: Final answer
    x = 405,505.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.