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Finding the Third Proportional to 151,122 and 211,848

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Solution

The third proportional to 151,122 and 211,848 is: 296,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,122 : 211,848 = 211,848 : x
  2. Step 2: Convert to fraction form
    151,122/211,848 = 211,848/x
  3. Step 3: Cross multiply
    151,122x = 211,848 × 211,848
  4. Step 4: Simplify right side
    151,122x = 44,879,575,104
  5. Step 5: Solve for x
    x = 44,879,575,104/151,122
  6. Step 6: Final answer
    x = 296,975.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.