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Finding the Third Proportional to 193,030.50 and 295,286.25

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Solution

The third proportional to 193,030.50 and 295,286.25 is: 451,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,030.50 : 295,286.25 = 295,286.25 : x
  2. Step 2: Convert to fraction form
    193,030.50/295,286.25 = 295,286.25/x
  3. Step 3: Cross multiply
    193,030.50x = 295,286.25 × 295,286.25
  4. Step 4: Simplify right side
    193,030.50x = 87,193,969,439.06
  5. Step 5: Solve for x
    x = 87,193,969,439.06/193,030.50
  6. Step 6: Final answer
    x = 451,710.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.