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Finding the Third Proportional to 131,829 and 204,296

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Solution

The third proportional to 131,829 and 204,296 is: 316,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,829 : 204,296 = 204,296 : x
  2. Step 2: Convert to fraction form
    131,829/204,296 = 204,296/x
  3. Step 3: Cross multiply
    131,829x = 204,296 × 204,296
  4. Step 4: Simplify right side
    131,829x = 41,736,855,616
  5. Step 5: Solve for x
    x = 41,736,855,616/131,829
  6. Step 6: Final answer
    x = 316,598.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.