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Finding the Third Proportional to 202,168 and 433,861

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Solution

The third proportional to 202,168 and 433,861 is: 931,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,168 : 433,861 = 433,861 : x
  2. Step 2: Convert to fraction form
    202,168/433,861 = 433,861/x
  3. Step 3: Cross multiply
    202,168x = 433,861 × 433,861
  4. Step 4: Simplify right side
    202,168x = 188,235,367,321
  5. Step 5: Solve for x
    x = 188,235,367,321/202,168
  6. Step 6: Final answer
    x = 931,083.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.