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Finding the Third Proportional to 323,136 and 508,230

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Solution

The third proportional to 323,136 and 508,230 is: 799,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,136 : 508,230 = 508,230 : x
  2. Step 2: Convert to fraction form
    323,136/508,230 = 508,230/x
  3. Step 3: Cross multiply
    323,136x = 508,230 × 508,230
  4. Step 4: Simplify right side
    323,136x = 258,297,732,900
  5. Step 5: Solve for x
    x = 258,297,732,900/323,136
  6. Step 6: Final answer
    x = 799,346.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.