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Finding the Third Proportional to 149,806.97 and 210,715.59

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Solution

The third proportional to 149,806.97 and 210,715.59 is: 296,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,806.97 : 210,715.59 = 210,715.59 : x
  2. Step 2: Convert to fraction form
    149,806.97/210,715.59 = 210,715.59/x
  3. Step 3: Cross multiply
    149,806.97x = 210,715.59 × 210,715.59
  4. Step 4: Simplify right side
    149,806.97x = 44,401,061,449.42
  5. Step 5: Solve for x
    x = 44,401,061,449.42/149,806.97
  6. Step 6: Final answer
    x = 296,388.49

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