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Finding the Third Proportional to 133,297 and 281,578

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Solution

The third proportional to 133,297 and 281,578 is: 594,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,297 : 281,578 = 281,578 : x
  2. Step 2: Convert to fraction form
    133,297/281,578 = 281,578/x
  3. Step 3: Cross multiply
    133,297x = 281,578 × 281,578
  4. Step 4: Simplify right side
    133,297x = 79,286,170,084
  5. Step 5: Solve for x
    x = 79,286,170,084/133,297
  6. Step 6: Final answer
    x = 594,808.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.