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Finding the Third Proportional to 79,310 and 165,196

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Solution

The third proportional to 79,310 and 165,196 is: 344,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,310 : 165,196 = 165,196 : x
  2. Step 2: Convert to fraction form
    79,310/165,196 = 165,196/x
  3. Step 3: Cross multiply
    79,310x = 165,196 × 165,196
  4. Step 4: Simplify right side
    79,310x = 27,289,718,416
  5. Step 5: Solve for x
    x = 27,289,718,416/79,310
  6. Step 6: Final answer
    x = 344,089.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.