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Finding the Third Proportional to 236,439 and 325,127.25

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Solution

The third proportional to 236,439 and 325,127.25 is: 447,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,439 : 325,127.25 = 325,127.25 : x
  2. Step 2: Convert to fraction form
    236,439/325,127.25 = 325,127.25/x
  3. Step 3: Cross multiply
    236,439x = 325,127.25 × 325,127.25
  4. Step 4: Simplify right side
    236,439x = 105,707,728,692.56
  5. Step 5: Solve for x
    x = 105,707,728,692.56/236,439
  6. Step 6: Final answer
    x = 447,082.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.