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Finding the Third Proportional to 171,724 and 373,958

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Solution

The third proportional to 171,724 and 373,958 is: 814,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,724 : 373,958 = 373,958 : x
  2. Step 2: Convert to fraction form
    171,724/373,958 = 373,958/x
  3. Step 3: Cross multiply
    171,724x = 373,958 × 373,958
  4. Step 4: Simplify right side
    171,724x = 139,844,585,764
  5. Step 5: Solve for x
    x = 139,844,585,764/171,724
  6. Step 6: Final answer
    x = 814,356.68

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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.