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Finding the Third Proportional to 170,978 and 373,420

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Solution

The third proportional to 170,978 and 373,420 is: 815,558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,978 : 373,420 = 373,420 : x
  2. Step 2: Convert to fraction form
    170,978/373,420 = 373,420/x
  3. Step 3: Cross multiply
    170,978x = 373,420 × 373,420
  4. Step 4: Simplify right side
    170,978x = 139,442,496,400
  5. Step 5: Solve for x
    x = 139,442,496,400/170,978
  6. Step 6: Final answer
    x = 815,558.12

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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.