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Finding the Third Proportional to 179,102 and 376,636

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Solution

The third proportional to 179,102 and 376,636 is: 792,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,102 : 376,636 = 376,636 : x
  2. Step 2: Convert to fraction form
    179,102/376,636 = 376,636/x
  3. Step 3: Cross multiply
    179,102x = 376,636 × 376,636
  4. Step 4: Simplify right side
    179,102x = 141,854,676,496
  5. Step 5: Solve for x
    x = 141,854,676,496/179,102
  6. Step 6: Final answer
    x = 792,032.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.