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Finding the Third Proportional to 214,704 and 322,272

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Solution

The third proportional to 214,704 and 322,272 is: 483,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,704 : 322,272 = 322,272 : x
  2. Step 2: Convert to fraction form
    214,704/322,272 = 322,272/x
  3. Step 3: Cross multiply
    214,704x = 322,272 × 322,272
  4. Step 4: Simplify right side
    214,704x = 103,859,241,984
  5. Step 5: Solve for x
    x = 103,859,241,984/214,704
  6. Step 6: Final answer
    x = 483,732.22

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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.