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Finding the Third Proportional to 156,134 and 248,259

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Solution

The third proportional to 156,134 and 248,259 is: 394,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,134 : 248,259 = 248,259 : x
  2. Step 2: Convert to fraction form
    156,134/248,259 = 248,259/x
  3. Step 3: Cross multiply
    156,134x = 248,259 × 248,259
  4. Step 4: Simplify right side
    156,134x = 61,632,531,081
  5. Step 5: Solve for x
    x = 61,632,531,081/156,134
  6. Step 6: Final answer
    x = 394,741.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.