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Finding the Third Proportional to 76,763 and 168,349

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Solution

The third proportional to 76,763 and 168,349 is: 369,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,763 : 168,349 = 168,349 : x
  2. Step 2: Convert to fraction form
    76,763/168,349 = 168,349/x
  3. Step 3: Cross multiply
    76,763x = 168,349 × 168,349
  4. Step 4: Simplify right side
    76,763x = 28,341,385,801
  5. Step 5: Solve for x
    x = 28,341,385,801/76,763
  6. Step 6: Final answer
    x = 369,206.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.