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Finding the Third Proportional to 239,749.88 and 360,239.91

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Solution

The third proportional to 239,749.88 and 360,239.91 is: 541,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,749.88 : 360,239.91 = 360,239.91 : x
  2. Step 2: Convert to fraction form
    239,749.88/360,239.91 = 360,239.91/x
  3. Step 3: Cross multiply
    239,749.88x = 360,239.91 × 360,239.91
  4. Step 4: Simplify right side
    239,749.88x = 129,772,790,055.01
  5. Step 5: Solve for x
    x = 129,772,790,055.01/239,749.88
  6. Step 6: Final answer
    x = 541,284.08

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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.