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Finding the Third Proportional to 231,322.71 and 345,058.73

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Solution

The third proportional to 231,322.71 and 345,058.73 is: 514,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,322.71 : 345,058.73 = 345,058.73 : x
  2. Step 2: Convert to fraction form
    231,322.71/345,058.73 = 345,058.73/x
  3. Step 3: Cross multiply
    231,322.71x = 345,058.73 × 345,058.73
  4. Step 4: Simplify right side
    231,322.71x = 119,065,530,168.48
  5. Step 5: Solve for x
    x = 119,065,530,168.48/231,322.71
  6. Step 6: Final answer
    x = 514,716.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.