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Finding the Third Proportional to 201,723.75 and 475,507.13

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Solution

The third proportional to 201,723.75 and 475,507.13 is: 1,120,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,723.75 : 475,507.13 = 475,507.13 : x
  2. Step 2: Convert to fraction form
    201,723.75/475,507.13 = 475,507.13/x
  3. Step 3: Cross multiply
    201,723.75x = 475,507.13 × 475,507.13
  4. Step 4: Simplify right side
    201,723.75x = 226,107,025,925.77
  5. Step 5: Solve for x
    x = 226,107,025,925.77/201,723.75
  6. Step 6: Final answer
    x = 1,120,874.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.