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Finding the Third Proportional to 150,707.25 and 205,238.25

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Solution

The third proportional to 150,707.25 and 205,238.25 is: 279,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,707.25 : 205,238.25 = 205,238.25 : x
  2. Step 2: Convert to fraction form
    150,707.25/205,238.25 = 205,238.25/x
  3. Step 3: Cross multiply
    150,707.25x = 205,238.25 × 205,238.25
  4. Step 4: Simplify right side
    150,707.25x = 42,122,739,263.06
  5. Step 5: Solve for x
    x = 42,122,739,263.06/150,707.25
  6. Step 6: Final answer
    x = 279,500.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.