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Finding the Third Proportional to 171,694.13 and 235,276.88

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Solution

The third proportional to 171,694.13 and 235,276.88 is: 322,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,694.13 : 235,276.88 = 235,276.88 : x
  2. Step 2: Convert to fraction form
    171,694.13/235,276.88 = 235,276.88/x
  3. Step 3: Cross multiply
    171,694.13x = 235,276.88 × 235,276.88
  4. Step 4: Simplify right side
    171,694.13x = 55,355,207,909.77
  5. Step 5: Solve for x
    x = 55,355,207,909.77/171,694.13
  6. Step 6: Final answer
    x = 322,405.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.