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Finding the Third Proportional to 202,617.38 and 469,022.25

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Solution

The third proportional to 202,617.38 and 469,022.25 is: 1,085,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,617.38 : 469,022.25 = 469,022.25 : x
  2. Step 2: Convert to fraction form
    202,617.38/469,022.25 = 469,022.25/x
  3. Step 3: Cross multiply
    202,617.38x = 469,022.25 × 469,022.25
  4. Step 4: Simplify right side
    202,617.38x = 219,981,870,995.06
  5. Step 5: Solve for x
    x = 219,981,870,995.06/202,617.38
  6. Step 6: Final answer
    x = 1,085,700.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.