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Finding the Third Proportional to 190,665 and 279,622.13

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Solution

The third proportional to 190,665 and 279,622.13 is: 410,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,665 : 279,622.13 = 279,622.13 : x
  2. Step 2: Convert to fraction form
    190,665/279,622.13 = 279,622.13/x
  3. Step 3: Cross multiply
    190,665x = 279,622.13 × 279,622.13
  4. Step 4: Simplify right side
    190,665x = 78,188,532,789.52
  5. Step 5: Solve for x
    x = 78,188,532,789.52/190,665
  6. Step 6: Final answer
    x = 410,083.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.