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Finding the Third Proportional to 193,493.81 and 293,166.84

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Solution

The third proportional to 193,493.81 and 293,166.84 is: 444,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,493.81 : 293,166.84 = 293,166.84 : x
  2. Step 2: Convert to fraction form
    193,493.81/293,166.84 = 293,166.84/x
  3. Step 3: Cross multiply
    193,493.81x = 293,166.84 × 293,166.84
  4. Step 4: Simplify right side
    193,493.81x = 85,946,798,274.34
  5. Step 5: Solve for x
    x = 85,946,798,274.34/193,493.81
  6. Step 6: Final answer
    x = 444,183.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.