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Finding the Third Proportional to 223,940 and 346,728

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Solution

The third proportional to 223,940 and 346,728 is: 536,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,940 : 346,728 = 346,728 : x
  2. Step 2: Convert to fraction form
    223,940/346,728 = 346,728/x
  3. Step 3: Cross multiply
    223,940x = 346,728 × 346,728
  4. Step 4: Simplify right side
    223,940x = 120,220,305,984
  5. Step 5: Solve for x
    x = 120,220,305,984/223,940
  6. Step 6: Final answer
    x = 536,841.59

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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.