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Finding the Third Proportional to 230,812 and 365,169

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Solution

The third proportional to 230,812 and 365,169 is: 577,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,812 : 365,169 = 365,169 : x
  2. Step 2: Convert to fraction form
    230,812/365,169 = 365,169/x
  3. Step 3: Cross multiply
    230,812x = 365,169 × 365,169
  4. Step 4: Simplify right side
    230,812x = 133,348,398,561
  5. Step 5: Solve for x
    x = 133,348,398,561/230,812
  6. Step 6: Final answer
    x = 577,735.99

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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.