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Finding the Third Proportional to 171,871.24 and 370,071.91

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Solution

The third proportional to 171,871.24 and 370,071.91 is: 796,836.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,871.24 : 370,071.91 = 370,071.91 : x
  2. Step 2: Convert to fraction form
    171,871.24/370,071.91 = 370,071.91/x
  3. Step 3: Cross multiply
    171,871.24x = 370,071.91 × 370,071.91
  4. Step 4: Simplify right side
    171,871.24x = 136,953,221,577.88
  5. Step 5: Solve for x
    x = 136,953,221,577.88/171,871.24
  6. Step 6: Final answer
    x = 796,836.17

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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.