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Finding the Third Proportional to 171,426.75 and 369,095.25

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Solution

The third proportional to 171,426.75 and 369,095.25 is: 794,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,426.75 : 369,095.25 = 369,095.25 : x
  2. Step 2: Convert to fraction form
    171,426.75/369,095.25 = 369,095.25/x
  3. Step 3: Cross multiply
    171,426.75x = 369,095.25 × 369,095.25
  4. Step 4: Simplify right side
    171,426.75x = 136,231,303,572.56
  5. Step 5: Solve for x
    x = 136,231,303,572.56/171,426.75
  6. Step 6: Final answer
    x = 794,691.05

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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.