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Finding the Third Proportional to 207,683.37 and 311,178.59

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Solution

The third proportional to 207,683.37 and 311,178.59 is: 466,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,683.37 : 311,178.59 = 311,178.59 : x
  2. Step 2: Convert to fraction form
    207,683.37/311,178.59 = 311,178.59/x
  3. Step 3: Cross multiply
    207,683.37x = 311,178.59 × 311,178.59
  4. Step 4: Simplify right side
    207,683.37x = 96,832,112,346.06
  5. Step 5: Solve for x
    x = 96,832,112,346.06/207,683.37
  6. Step 6: Final answer
    x = 466,248.76

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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.