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Finding the Third Proportional to 94,949 and 202,606

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Solution

The third proportional to 94,949 and 202,606 is: 432,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,949 : 202,606 = 202,606 : x
  2. Step 2: Convert to fraction form
    94,949/202,606 = 202,606/x
  3. Step 3: Cross multiply
    94,949x = 202,606 × 202,606
  4. Step 4: Simplify right side
    94,949x = 41,049,191,236
  5. Step 5: Solve for x
    x = 41,049,191,236/94,949
  6. Step 6: Final answer
    x = 432,328.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.