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Finding the Third Proportional to 223,934 and 346,718

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Solution

The third proportional to 223,934 and 346,718 is: 536,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,934 : 346,718 = 346,718 : x
  2. Step 2: Convert to fraction form
    223,934/346,718 = 346,718/x
  3. Step 3: Cross multiply
    223,934x = 346,718 × 346,718
  4. Step 4: Simplify right side
    223,934x = 120,213,371,524
  5. Step 5: Solve for x
    x = 120,213,371,524/223,934
  6. Step 6: Final answer
    x = 536,825.01

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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.