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Finding the Third Proportional to 138,783.38 and 207,795.38

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Solution

The third proportional to 138,783.38 and 207,795.38 is: 311,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,783.38 : 207,795.38 = 207,795.38 : x
  2. Step 2: Convert to fraction form
    138,783.38/207,795.38 = 207,795.38/x
  3. Step 3: Cross multiply
    138,783.38x = 207,795.38 × 207,795.38
  4. Step 4: Simplify right side
    138,783.38x = 43,178,917,871.39
  5. Step 5: Solve for x
    x = 43,178,917,871.39/138,783.38
  6. Step 6: Final answer
    x = 311,124.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.