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Finding the Third Proportional to 77,498 and 164,296

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Solution

The third proportional to 77,498 and 164,296 is: 348,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,498 : 164,296 = 164,296 : x
  2. Step 2: Convert to fraction form
    77,498/164,296 = 164,296/x
  3. Step 3: Cross multiply
    77,498x = 164,296 × 164,296
  4. Step 4: Simplify right side
    77,498x = 26,993,175,616
  5. Step 5: Solve for x
    x = 26,993,175,616/77,498
  6. Step 6: Final answer
    x = 348,308.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.