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Finding the Third Proportional to 150,031.13 and 325,819.69

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Solution

The third proportional to 150,031.13 and 325,819.69 is: 707,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,031.13 : 325,819.69 = 325,819.69 : x
  2. Step 2: Convert to fraction form
    150,031.13/325,819.69 = 325,819.69/x
  3. Step 3: Cross multiply
    150,031.13x = 325,819.69 × 325,819.69
  4. Step 4: Simplify right side
    150,031.13x = 106,158,468,762.60
  5. Step 5: Solve for x
    x = 106,158,468,762.60/150,031.13
  6. Step 6: Final answer
    x = 707,576.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.