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Finding the Third Proportional to 94,658 and 202,450

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Solution

The third proportional to 94,658 and 202,450 is: 432,990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,658 : 202,450 = 202,450 : x
  2. Step 2: Convert to fraction form
    94,658/202,450 = 202,450/x
  3. Step 3: Cross multiply
    94,658x = 202,450 × 202,450
  4. Step 4: Simplify right side
    94,658x = 40,986,002,500
  5. Step 5: Solve for x
    x = 40,986,002,500/94,658
  6. Step 6: Final answer
    x = 432,990.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.