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Finding the Third Proportional to 103,340 and 211,044

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Solution

The third proportional to 103,340 and 211,044 is: 431,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,340 : 211,044 = 211,044 : x
  2. Step 2: Convert to fraction form
    103,340/211,044 = 211,044/x
  3. Step 3: Cross multiply
    103,340x = 211,044 × 211,044
  4. Step 4: Simplify right side
    103,340x = 44,539,569,936
  5. Step 5: Solve for x
    x = 44,539,569,936/103,340
  6. Step 6: Final answer
    x = 431,000.29

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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.