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Finding the Third Proportional to 112,033 and 234,452

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Solution

The third proportional to 112,033 and 234,452 is: 490,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,033 : 234,452 = 234,452 : x
  2. Step 2: Convert to fraction form
    112,033/234,452 = 234,452/x
  3. Step 3: Cross multiply
    112,033x = 234,452 × 234,452
  4. Step 4: Simplify right side
    112,033x = 54,967,740,304
  5. Step 5: Solve for x
    x = 54,967,740,304/112,033
  6. Step 6: Final answer
    x = 490,638.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.