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Finding the Third Proportional to 175,296 and 250,650.75

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Solution

The third proportional to 175,296 and 250,650.75 is: 358,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,296 : 250,650.75 = 250,650.75 : x
  2. Step 2: Convert to fraction form
    175,296/250,650.75 = 250,650.75/x
  3. Step 3: Cross multiply
    175,296x = 250,650.75 × 250,650.75
  4. Step 4: Simplify right side
    175,296x = 62,825,798,475.56
  5. Step 5: Solve for x
    x = 62,825,798,475.56/175,296
  6. Step 6: Final answer
    x = 358,398.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.