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Finding the Third Proportional to 174,318 and 245,472.75

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Solution

The third proportional to 174,318 and 245,472.75 is: 345,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,318 : 245,472.75 = 245,472.75 : x
  2. Step 2: Convert to fraction form
    174,318/245,472.75 = 245,472.75/x
  3. Step 3: Cross multiply
    174,318x = 245,472.75 × 245,472.75
  4. Step 4: Simplify right side
    174,318x = 60,256,870,992.56
  5. Step 5: Solve for x
    x = 60,256,870,992.56/174,318
  6. Step 6: Final answer
    x = 345,672.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.