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Finding the Third Proportional to 120,576.09 and 264,799.13

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Solution

The third proportional to 120,576.09 and 264,799.13 is: 581,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,576.09 : 264,799.13 = 264,799.13 : x
  2. Step 2: Convert to fraction form
    120,576.09/264,799.13 = 264,799.13/x
  3. Step 3: Cross multiply
    120,576.09x = 264,799.13 × 264,799.13
  4. Step 4: Simplify right side
    120,576.09x = 70,118,576,600.77
  5. Step 5: Solve for x
    x = 70,118,576,600.77/120,576.09
  6. Step 6: Final answer
    x = 581,529.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.