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Finding the Third Proportional to 151,010 and 211,645

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Solution

The third proportional to 151,010 and 211,645 is: 296,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,010 : 211,645 = 211,645 : x
  2. Step 2: Convert to fraction form
    151,010/211,645 = 211,645/x
  3. Step 3: Cross multiply
    151,010x = 211,645 × 211,645
  4. Step 4: Simplify right side
    151,010x = 44,793,606,025
  5. Step 5: Solve for x
    x = 44,793,606,025/151,010
  6. Step 6: Final answer
    x = 296,626.75

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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.