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Finding the Third Proportional to 179,905 and 345,716

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Solution

The third proportional to 179,905 and 345,716 is: 664,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,905 : 345,716 = 345,716 : x
  2. Step 2: Convert to fraction form
    179,905/345,716 = 345,716/x
  3. Step 3: Cross multiply
    179,905x = 345,716 × 345,716
  4. Step 4: Simplify right side
    179,905x = 119,519,552,656
  5. Step 5: Solve for x
    x = 119,519,552,656/179,905
  6. Step 6: Final answer
    x = 664,348.14

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.