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Finding the Third Proportional to 230,814 and 360,801

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Solution

The third proportional to 230,814 and 360,801 is: 563,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,814 : 360,801 = 360,801 : x
  2. Step 2: Convert to fraction form
    230,814/360,801 = 360,801/x
  3. Step 3: Cross multiply
    230,814x = 360,801 × 360,801
  4. Step 4: Simplify right side
    230,814x = 130,177,361,601
  5. Step 5: Solve for x
    x = 130,177,361,601/230,814
  6. Step 6: Final answer
    x = 563,992.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.