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Finding the Third Proportional to 103,342 and 211,048

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Solution

The third proportional to 103,342 and 211,048 is: 431,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,342 : 211,048 = 211,048 : x
  2. Step 2: Convert to fraction form
    103,342/211,048 = 211,048/x
  3. Step 3: Cross multiply
    103,342x = 211,048 × 211,048
  4. Step 4: Simplify right side
    103,342x = 44,541,258,304
  5. Step 5: Solve for x
    x = 44,541,258,304/103,342
  6. Step 6: Final answer
    x = 431,008.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.