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Finding the Third Proportional to 178,012 and 267,053

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Solution

The third proportional to 178,012 and 267,053 is: 400,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,012 : 267,053 = 267,053 : x
  2. Step 2: Convert to fraction form
    178,012/267,053 = 267,053/x
  3. Step 3: Cross multiply
    178,012x = 267,053 × 267,053
  4. Step 4: Simplify right side
    178,012x = 71,317,304,809
  5. Step 5: Solve for x
    x = 71,317,304,809/178,012
  6. Step 6: Final answer
    x = 400,632.01

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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.