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Finding the Third Proportional to 201,082 and 294,856

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Solution

The third proportional to 201,082 and 294,856 is: 432,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,082 : 294,856 = 294,856 : x
  2. Step 2: Convert to fraction form
    201,082/294,856 = 294,856/x
  3. Step 3: Cross multiply
    201,082x = 294,856 × 294,856
  4. Step 4: Simplify right side
    201,082x = 86,940,060,736
  5. Step 5: Solve for x
    x = 86,940,060,736/201,082
  6. Step 6: Final answer
    x = 432,361.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.