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Finding the Third Proportional to 190,819.13 and 259,147.13

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Solution

The third proportional to 190,819.13 and 259,147.13 is: 351,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,819.13 : 259,147.13 = 259,147.13 : x
  2. Step 2: Convert to fraction form
    190,819.13/259,147.13 = 259,147.13/x
  3. Step 3: Cross multiply
    190,819.13x = 259,147.13 × 259,147.13
  4. Step 4: Simplify right side
    190,819.13x = 67,157,232,395.77
  5. Step 5: Solve for x
    x = 67,157,232,395.77/190,819.13
  6. Step 6: Final answer
    x = 351,941.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.