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Finding the Third Proportional to 92,594 and 202,612

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Solution

The third proportional to 92,594 and 202,612 is: 443,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,594 : 202,612 = 202,612 : x
  2. Step 2: Convert to fraction form
    92,594/202,612 = 202,612/x
  3. Step 3: Cross multiply
    92,594x = 202,612 × 202,612
  4. Step 4: Simplify right side
    92,594x = 41,051,622,544
  5. Step 5: Solve for x
    x = 41,051,622,544/92,594
  6. Step 6: Final answer
    x = 443,350.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.