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Finding the Third Proportional to 239,477.25 and 360,215.25

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Solution

The third proportional to 239,477.25 and 360,215.25 is: 541,826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,477.25 : 360,215.25 = 360,215.25 : x
  2. Step 2: Convert to fraction form
    239,477.25/360,215.25 = 360,215.25/x
  3. Step 3: Cross multiply
    239,477.25x = 360,215.25 × 360,215.25
  4. Step 4: Simplify right side
    239,477.25x = 129,755,026,332.56
  5. Step 5: Solve for x
    x = 129,755,026,332.56/239,477.25
  6. Step 6: Final answer
    x = 541,826.11

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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.