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Finding the Third Proportional to 171,483.75 and 369,305.91

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Solution

The third proportional to 171,483.75 and 369,305.91 is: 795,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,483.75 : 369,305.91 = 369,305.91 : x
  2. Step 2: Convert to fraction form
    171,483.75/369,305.91 = 369,305.91/x
  3. Step 3: Cross multiply
    171,483.75x = 369,305.91 × 369,305.91
  4. Step 4: Simplify right side
    171,483.75x = 136,386,852,391.13
  5. Step 5: Solve for x
    x = 136,386,852,391.13/171,483.75
  6. Step 6: Final answer
    x = 795,333.97

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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.