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Finding the Third Proportional to 230,801 and 365,156

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Solution

The third proportional to 230,801 and 365,156 is: 577,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,801 : 365,156 = 365,156 : x
  2. Step 2: Convert to fraction form
    230,801/365,156 = 365,156/x
  3. Step 3: Cross multiply
    230,801x = 365,156 × 365,156
  4. Step 4: Simplify right side
    230,801x = 133,338,904,336
  5. Step 5: Solve for x
    x = 133,338,904,336/230,801
  6. Step 6: Final answer
    x = 577,722.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.