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Finding the Third Proportional to 171,141.75 and 353,191.50

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Solution

The third proportional to 171,141.75 and 353,191.50 is: 728,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,141.75 : 353,191.50 = 353,191.50 : x
  2. Step 2: Convert to fraction form
    171,141.75/353,191.50 = 353,191.50/x
  3. Step 3: Cross multiply
    171,141.75x = 353,191.50 × 353,191.50
  4. Step 4: Simplify right side
    171,141.75x = 124,744,235,672.25
  5. Step 5: Solve for x
    x = 124,744,235,672.25/171,141.75
  6. Step 6: Final answer
    x = 728,894.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.