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Finding the Third Proportional to 151,013 and 211,689

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Solution

The third proportional to 151,013 and 211,689 is: 296,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,013 : 211,689 = 211,689 : x
  2. Step 2: Convert to fraction form
    151,013/211,689 = 211,689/x
  3. Step 3: Cross multiply
    151,013x = 211,689 × 211,689
  4. Step 4: Simplify right side
    151,013x = 44,812,232,721
  5. Step 5: Solve for x
    x = 44,812,232,721/151,013
  6. Step 6: Final answer
    x = 296,744.21

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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.