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Finding the Third Proportional to 94,622 and 205,240

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Solution

The third proportional to 94,622 and 205,240 is: 445,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,622 : 205,240 = 205,240 : x
  2. Step 2: Convert to fraction form
    94,622/205,240 = 205,240/x
  3. Step 3: Cross multiply
    94,622x = 205,240 × 205,240
  4. Step 4: Simplify right side
    94,622x = 42,123,457,600
  5. Step 5: Solve for x
    x = 42,123,457,600/94,622
  6. Step 6: Final answer
    x = 445,176.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.