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Finding the Third Proportional to 151,924 and 244,086

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Solution

The third proportional to 151,924 and 244,086 is: 392,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,924 : 244,086 = 244,086 : x
  2. Step 2: Convert to fraction form
    151,924/244,086 = 244,086/x
  3. Step 3: Cross multiply
    151,924x = 244,086 × 244,086
  4. Step 4: Simplify right side
    151,924x = 59,577,975,396
  5. Step 5: Solve for x
    x = 59,577,975,396/151,924
  6. Step 6: Final answer
    x = 392,156.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.