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Finding the Third Proportional to 170,343 and 194,946.75

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Solution

The third proportional to 170,343 and 194,946.75 is: 223,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,343 : 194,946.75 = 194,946.75 : x
  2. Step 2: Convert to fraction form
    170,343/194,946.75 = 194,946.75/x
  3. Step 3: Cross multiply
    170,343x = 194,946.75 × 194,946.75
  4. Step 4: Simplify right side
    170,343x = 38,004,235,335.56
  5. Step 5: Solve for x
    x = 38,004,235,335.56/170,343
  6. Step 6: Final answer
    x = 223,104.18

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.