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Finding the Third Proportional to 178,496 and 267,752

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Solution

The third proportional to 178,496 and 267,752 is: 401,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,496 : 267,752 = 267,752 : x
  2. Step 2: Convert to fraction form
    178,496/267,752 = 267,752/x
  3. Step 3: Cross multiply
    178,496x = 267,752 × 267,752
  4. Step 4: Simplify right side
    178,496x = 71,691,133,504
  5. Step 5: Solve for x
    x = 71,691,133,504/178,496
  6. Step 6: Final answer
    x = 401,640.00

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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.