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Finding the Third Proportional to 178,040 and 267,816

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Solution

The third proportional to 178,040 and 267,816 is: 402,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,040 : 267,816 = 267,816 : x
  2. Step 2: Convert to fraction form
    178,040/267,816 = 267,816/x
  3. Step 3: Cross multiply
    178,040x = 267,816 × 267,816
  4. Step 4: Simplify right side
    178,040x = 71,725,409,856
  5. Step 5: Solve for x
    x = 71,725,409,856/178,040
  6. Step 6: Final answer
    x = 402,861.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.