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Finding the Third Proportional to 164,866 and 223,939

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Solution

The third proportional to 164,866 and 223,939 is: 304,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,866 : 223,939 = 223,939 : x
  2. Step 2: Convert to fraction form
    164,866/223,939 = 223,939/x
  3. Step 3: Cross multiply
    164,866x = 223,939 × 223,939
  4. Step 4: Simplify right side
    164,866x = 50,148,675,721
  5. Step 5: Solve for x
    x = 50,148,675,721/164,866
  6. Step 6: Final answer
    x = 304,178.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.