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Finding the Third Proportional to 261,793.50 and 384,372.75

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Solution

The third proportional to 261,793.50 and 384,372.75 is: 564,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,793.50 : 384,372.75 = 384,372.75 : x
  2. Step 2: Convert to fraction form
    261,793.50/384,372.75 = 384,372.75/x
  3. Step 3: Cross multiply
    261,793.50x = 384,372.75 × 384,372.75
  4. Step 4: Simplify right side
    261,793.50x = 147,742,410,942.56
  5. Step 5: Solve for x
    x = 147,742,410,942.56/261,793.50
  6. Step 6: Final answer
    x = 564,347.13

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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.