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Finding the Third Proportional to 94,322 and 202,687

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Solution

The third proportional to 94,322 and 202,687 is: 435,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,322 : 202,687 = 202,687 : x
  2. Step 2: Convert to fraction form
    94,322/202,687 = 202,687/x
  3. Step 3: Cross multiply
    94,322x = 202,687 × 202,687
  4. Step 4: Simplify right side
    94,322x = 41,082,019,969
  5. Step 5: Solve for x
    x = 41,082,019,969/94,322
  6. Step 6: Final answer
    x = 435,550.77

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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.