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Finding the Third Proportional to 79,460 and 165,454

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Solution

The third proportional to 79,460 and 165,454 is: 344,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,460 : 165,454 = 165,454 : x
  2. Step 2: Convert to fraction form
    79,460/165,454 = 165,454/x
  3. Step 3: Cross multiply
    79,460x = 165,454 × 165,454
  4. Step 4: Simplify right side
    79,460x = 27,375,026,116
  5. Step 5: Solve for x
    x = 27,375,026,116/79,460
  6. Step 6: Final answer
    x = 344,513.29

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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.