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Finding the Third Proportional to 164,649 and 241,119

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Solution

The third proportional to 164,649 and 241,119 is: 353,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,649 : 241,119 = 241,119 : x
  2. Step 2: Convert to fraction form
    164,649/241,119 = 241,119/x
  3. Step 3: Cross multiply
    164,649x = 241,119 × 241,119
  4. Step 4: Simplify right side
    164,649x = 58,138,372,161
  5. Step 5: Solve for x
    x = 58,138,372,161/164,649
  6. Step 6: Final answer
    x = 353,104.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.