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Finding the Third Proportional to 171,795.75 and 369,018.75

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Solution

The third proportional to 171,795.75 and 369,018.75 is: 792,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,795.75 : 369,018.75 = 369,018.75 : x
  2. Step 2: Convert to fraction form
    171,795.75/369,018.75 = 369,018.75/x
  3. Step 3: Cross multiply
    171,795.75x = 369,018.75 × 369,018.75
  4. Step 4: Simplify right side
    171,795.75x = 136,174,837,851.56
  5. Step 5: Solve for x
    x = 136,174,837,851.56/171,795.75
  6. Step 6: Final answer
    x = 792,655.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.