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Finding the Third Proportional to 223,884 and 346,644

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Solution

The third proportional to 223,884 and 346,644 is: 536,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,884 : 346,644 = 346,644 : x
  2. Step 2: Convert to fraction form
    223,884/346,644 = 346,644/x
  3. Step 3: Cross multiply
    223,884x = 346,644 × 346,644
  4. Step 4: Simplify right side
    223,884x = 120,162,062,736
  5. Step 5: Solve for x
    x = 120,162,062,736/223,884
  6. Step 6: Final answer
    x = 536,715.72

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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.