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Finding the Third Proportional to 223,993 and 346,823

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Solution

The third proportional to 223,993 and 346,823 is: 537,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,993 : 346,823 = 346,823 : x
  2. Step 2: Convert to fraction form
    223,993/346,823 = 346,823/x
  3. Step 3: Cross multiply
    223,993x = 346,823 × 346,823
  4. Step 4: Simplify right side
    223,993x = 120,286,193,329
  5. Step 5: Solve for x
    x = 120,286,193,329/223,993
  6. Step 6: Final answer
    x = 537,008.72

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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.