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Finding the Third Proportional to 175,176 and 267,138

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Solution

The third proportional to 175,176 and 267,138 is: 407,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,176 : 267,138 = 267,138 : x
  2. Step 2: Convert to fraction form
    175,176/267,138 = 267,138/x
  3. Step 3: Cross multiply
    175,176x = 267,138 × 267,138
  4. Step 4: Simplify right side
    175,176x = 71,362,711,044
  5. Step 5: Solve for x
    x = 71,362,711,044/175,176
  6. Step 6: Final answer
    x = 407,377.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.