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Finding the Third Proportional to 149,836 and 210,771

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Solution

The third proportional to 149,836 and 210,771 is: 296,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,836 : 210,771 = 210,771 : x
  2. Step 2: Convert to fraction form
    149,836/210,771 = 210,771/x
  3. Step 3: Cross multiply
    149,836x = 210,771 × 210,771
  4. Step 4: Simplify right side
    149,836x = 44,424,414,441
  5. Step 5: Solve for x
    x = 44,424,414,441/149,836
  6. Step 6: Final answer
    x = 296,486.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.