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Finding the Third Proportional to 219,974 and 343,107

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Solution

The third proportional to 219,974 and 343,107 is: 535,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,974 : 343,107 = 343,107 : x
  2. Step 2: Convert to fraction form
    219,974/343,107 = 343,107/x
  3. Step 3: Cross multiply
    219,974x = 343,107 × 343,107
  4. Step 4: Simplify right side
    219,974x = 117,722,413,449
  5. Step 5: Solve for x
    x = 117,722,413,449/219,974
  6. Step 6: Final answer
    x = 535,165.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.