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Finding the Third Proportional to 207,533.81 and 311,301.56

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Solution

The third proportional to 207,533.81 and 311,301.56 is: 466,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,533.81 : 311,301.56 = 311,301.56 : x
  2. Step 2: Convert to fraction form
    207,533.81/311,301.56 = 311,301.56/x
  3. Step 3: Cross multiply
    207,533.81x = 311,301.56 × 311,301.56
  4. Step 4: Simplify right side
    207,533.81x = 96,908,662,814.94
  5. Step 5: Solve for x
    x = 96,908,662,814.94/207,533.81
  6. Step 6: Final answer
    x = 466,953.61

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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.