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Finding the Third Proportional to 193,458.75 and 295,912.25

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Solution

The third proportional to 193,458.75 and 295,912.25 is: 452,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,458.75 : 295,912.25 = 295,912.25 : x
  2. Step 2: Convert to fraction form
    193,458.75/295,912.25 = 295,912.25/x
  3. Step 3: Cross multiply
    193,458.75x = 295,912.25 × 295,912.25
  4. Step 4: Simplify right side
    193,458.75x = 87,564,059,700.06
  5. Step 5: Solve for x
    x = 87,564,059,700.06/193,458.75
  6. Step 6: Final answer
    x = 452,623.93

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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.