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Finding the Third Proportional to 79,357 and 165,290

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Solution

The third proportional to 79,357 and 165,290 is: 344,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,357 : 165,290 = 165,290 : x
  2. Step 2: Convert to fraction form
    79,357/165,290 = 165,290/x
  3. Step 3: Cross multiply
    79,357x = 165,290 × 165,290
  4. Step 4: Simplify right side
    79,357x = 27,320,784,100
  5. Step 5: Solve for x
    x = 27,320,784,100/79,357
  6. Step 6: Final answer
    x = 344,276.93

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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.