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Finding the Third Proportional to 165,982.92 and 355,631.77

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Solution

The third proportional to 165,982.92 and 355,631.77 is: 761,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,982.92 : 355,631.77 = 355,631.77 : x
  2. Step 2: Convert to fraction form
    165,982.92/355,631.77 = 355,631.77/x
  3. Step 3: Cross multiply
    165,982.92x = 355,631.77 × 355,631.77
  4. Step 4: Simplify right side
    165,982.92x = 126,473,952,721.56
  5. Step 5: Solve for x
    x = 126,473,952,721.56/165,982.92
  6. Step 6: Final answer
    x = 761,969.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.