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Finding the Third Proportional to 176,740 and 267,684

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Solution

The third proportional to 176,740 and 267,684 is: 405,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,740 : 267,684 = 267,684 : x
  2. Step 2: Convert to fraction form
    176,740/267,684 = 267,684/x
  3. Step 3: Cross multiply
    176,740x = 267,684 × 267,684
  4. Step 4: Simplify right side
    176,740x = 71,654,723,856
  5. Step 5: Solve for x
    x = 71,654,723,856/176,740
  6. Step 6: Final answer
    x = 405,424.49

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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.