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Finding the Third Proportional to 172,634 and 376,650

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Solution

The third proportional to 172,634 and 376,650 is: 821,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,634 : 376,650 = 376,650 : x
  2. Step 2: Convert to fraction form
    172,634/376,650 = 376,650/x
  3. Step 3: Cross multiply
    172,634x = 376,650 × 376,650
  4. Step 4: Simplify right side
    172,634x = 141,865,222,500
  5. Step 5: Solve for x
    x = 141,865,222,500/172,634
  6. Step 6: Final answer
    x = 821,768.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.