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Finding the Third Proportional to 230,822 and 345,310

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Solution

The third proportional to 230,822 and 345,310 is: 516,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,822 : 345,310 = 345,310 : x
  2. Step 2: Convert to fraction form
    230,822/345,310 = 345,310/x
  3. Step 3: Cross multiply
    230,822x = 345,310 × 345,310
  4. Step 4: Simplify right side
    230,822x = 119,238,996,100
  5. Step 5: Solve for x
    x = 119,238,996,100/230,822
  6. Step 6: Final answer
    x = 516,584.19

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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.