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Finding the Third Proportional to 170,783.22 and 365,212.71

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Solution

The third proportional to 170,783.22 and 365,212.71 is: 780,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,783.22 : 365,212.71 = 365,212.71 : x
  2. Step 2: Convert to fraction form
    170,783.22/365,212.71 = 365,212.71/x
  3. Step 3: Cross multiply
    170,783.22x = 365,212.71 × 365,212.71
  4. Step 4: Simplify right side
    170,783.22x = 133,380,327,172.69
  5. Step 5: Solve for x
    x = 133,380,327,172.69/170,783.22
  6. Step 6: Final answer
    x = 780,991.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.