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Finding the Third Proportional to 161,858.25 and 355,843.13

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Solution

The third proportional to 161,858.25 and 355,843.13 is: 782,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,858.25 : 355,843.13 = 355,843.13 : x
  2. Step 2: Convert to fraction form
    161,858.25/355,843.13 = 355,843.13/x
  3. Step 3: Cross multiply
    161,858.25x = 355,843.13 × 355,843.13
  4. Step 4: Simplify right side
    161,858.25x = 126,624,329,609.77
  5. Step 5: Solve for x
    x = 126,624,329,609.77/161,858.25
  6. Step 6: Final answer
    x = 782,316.19

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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.