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Finding the Third Proportional to 231,023 and 345,576

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Solution

The third proportional to 231,023 and 345,576 is: 516,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,023 : 345,576 = 345,576 : x
  2. Step 2: Convert to fraction form
    231,023/345,576 = 345,576/x
  3. Step 3: Cross multiply
    231,023x = 345,576 × 345,576
  4. Step 4: Simplify right side
    231,023x = 119,422,771,776
  5. Step 5: Solve for x
    x = 119,422,771,776/231,023
  6. Step 6: Final answer
    x = 516,930.23

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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.