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Finding the Third Proportional to 223,996 and 346,866

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Solution

The third proportional to 223,996 and 346,866 is: 537,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,996 : 346,866 = 346,866 : x
  2. Step 2: Convert to fraction form
    223,996/346,866 = 346,866/x
  3. Step 3: Cross multiply
    223,996x = 346,866 × 346,866
  4. Step 4: Simplify right side
    223,996x = 120,316,021,956
  5. Step 5: Solve for x
    x = 120,316,021,956/223,996
  6. Step 6: Final answer
    x = 537,134.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.