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Finding the Third Proportional to 156,544 and 335,223

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Solution

The third proportional to 156,544 and 335,223 is: 717,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,544 : 335,223 = 335,223 : x
  2. Step 2: Convert to fraction form
    156,544/335,223 = 335,223/x
  3. Step 3: Cross multiply
    156,544x = 335,223 × 335,223
  4. Step 4: Simplify right side
    156,544x = 112,374,459,729
  5. Step 5: Solve for x
    x = 112,374,459,729/156,544
  6. Step 6: Final answer
    x = 717,845.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.