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Finding the Third Proportional to 165,718.13 and 355,960.69

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Solution

The third proportional to 165,718.13 and 355,960.69 is: 764,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,718.13 : 355,960.69 = 355,960.69 : x
  2. Step 2: Convert to fraction form
    165,718.13/355,960.69 = 355,960.69/x
  3. Step 3: Cross multiply
    165,718.13x = 355,960.69 × 355,960.69
  4. Step 4: Simplify right side
    165,718.13x = 126,708,011,045.47
  5. Step 5: Solve for x
    x = 126,708,011,045.47/165,718.13
  6. Step 6: Final answer
    x = 764,599.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.