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Finding the Third Proportional to 94,450 and 207,530

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Solution

The third proportional to 94,450 and 207,530 is: 455,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,450 : 207,530 = 207,530 : x
  2. Step 2: Convert to fraction form
    94,450/207,530 = 207,530/x
  3. Step 3: Cross multiply
    94,450x = 207,530 × 207,530
  4. Step 4: Simplify right side
    94,450x = 43,068,700,900
  5. Step 5: Solve for x
    x = 43,068,700,900/94,450
  6. Step 6: Final answer
    x = 455,994.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.