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Finding the Third Proportional to 161,424 and 318,716

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Solution

The third proportional to 161,424 and 318,716 is: 629,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,424 : 318,716 = 318,716 : x
  2. Step 2: Convert to fraction form
    161,424/318,716 = 318,716/x
  3. Step 3: Cross multiply
    161,424x = 318,716 × 318,716
  4. Step 4: Simplify right side
    161,424x = 101,579,888,656
  5. Step 5: Solve for x
    x = 101,579,888,656/161,424
  6. Step 6: Final answer
    x = 629,273.77

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.