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Finding the Third Proportional to 79,470 and 165,468

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Solution

The third proportional to 79,470 and 165,468 is: 344,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,470 : 165,468 = 165,468 : x
  2. Step 2: Convert to fraction form
    79,470/165,468 = 165,468/x
  3. Step 3: Cross multiply
    79,470x = 165,468 × 165,468
  4. Step 4: Simplify right side
    79,470x = 27,379,659,024
  5. Step 5: Solve for x
    x = 27,379,659,024/79,470
  6. Step 6: Final answer
    x = 344,528.24

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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.