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Finding the Third Proportional to 171,919 and 373,727

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Solution

The third proportional to 171,919 and 373,727 is: 812,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,919 : 373,727 = 373,727 : x
  2. Step 2: Convert to fraction form
    171,919/373,727 = 373,727/x
  3. Step 3: Cross multiply
    171,919x = 373,727 × 373,727
  4. Step 4: Simplify right side
    171,919x = 139,671,870,529
  5. Step 5: Solve for x
    x = 139,671,870,529/171,919
  6. Step 6: Final answer
    x = 812,428.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.