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Finding the Third Proportional to 169,342 and 373,241

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Solution

The third proportional to 169,342 and 373,241 is: 822,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,342 : 373,241 = 373,241 : x
  2. Step 2: Convert to fraction form
    169,342/373,241 = 373,241/x
  3. Step 3: Cross multiply
    169,342x = 373,241 × 373,241
  4. Step 4: Simplify right side
    169,342x = 139,308,844,081
  5. Step 5: Solve for x
    x = 139,308,844,081/169,342
  6. Step 6: Final answer
    x = 822,647.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.