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Finding the Third Proportional to 79,336 and 165,248

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Solution

The third proportional to 79,336 and 165,248 is: 344,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,336 : 165,248 = 165,248 : x
  2. Step 2: Convert to fraction form
    79,336/165,248 = 165,248/x
  3. Step 3: Cross multiply
    79,336x = 165,248 × 165,248
  4. Step 4: Simplify right side
    79,336x = 27,306,901,504
  5. Step 5: Solve for x
    x = 27,306,901,504/79,336
  6. Step 6: Final answer
    x = 344,193.07

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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.