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Finding the Third Proportional to 201,664.69 and 442,695.38

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Solution

The third proportional to 201,664.69 and 442,695.38 is: 971,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,664.69 : 442,695.38 = 442,695.38 : x
  2. Step 2: Convert to fraction form
    201,664.69/442,695.38 = 442,695.38/x
  3. Step 3: Cross multiply
    201,664.69x = 442,695.38 × 442,695.38
  4. Step 4: Simplify right side
    201,664.69x = 195,979,195,046.39
  5. Step 5: Solve for x
    x = 195,979,195,046.39/201,664.69
  6. Step 6: Final answer
    x = 971,807.20

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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.