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Finding the Third Proportional to 165,803.27 and 355,244.91

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Solution

The third proportional to 165,803.27 and 355,244.91 is: 761,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,803.27 : 355,244.91 = 355,244.91 : x
  2. Step 2: Convert to fraction form
    165,803.27/355,244.91 = 355,244.91/x
  3. Step 3: Cross multiply
    165,803.27x = 355,244.91 × 355,244.91
  4. Step 4: Simplify right side
    165,803.27x = 126,198,943,416.57
  5. Step 5: Solve for x
    x = 126,198,943,416.57/165,803.27
  6. Step 6: Final answer
    x = 761,136.62

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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.