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Finding the Third Proportional to 230,624 and 345,936

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Solution

The third proportional to 230,624 and 345,936 is: 518,904

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,624 : 345,936 = 345,936 : x
  2. Step 2: Convert to fraction form
    230,624/345,936 = 345,936/x
  3. Step 3: Cross multiply
    230,624x = 345,936 × 345,936
  4. Step 4: Simplify right side
    230,624x = 119,671,716,096
  5. Step 5: Solve for x
    x = 119,671,716,096/230,624
  6. Step 6: Final answer
    x = 518,904

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.