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Finding the Third Proportional to 171,811.13 and 355,407.75

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Solution

The third proportional to 171,811.13 and 355,407.75 is: 735,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,811.13 : 355,407.75 = 355,407.75 : x
  2. Step 2: Convert to fraction form
    171,811.13/355,407.75 = 355,407.75/x
  3. Step 3: Cross multiply
    171,811.13x = 355,407.75 × 355,407.75
  4. Step 4: Simplify right side
    171,811.13x = 126,314,668,760.06
  5. Step 5: Solve for x
    x = 126,314,668,760.06/171,811.13
  6. Step 6: Final answer
    x = 735,194.93

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.