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Finding the Third Proportional to 195,592.50 and 292,659.75

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Solution

The third proportional to 195,592.50 and 292,659.75 is: 437,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,592.50 : 292,659.75 = 292,659.75 : x
  2. Step 2: Convert to fraction form
    195,592.50/292,659.75 = 292,659.75/x
  3. Step 3: Cross multiply
    195,592.50x = 292,659.75 × 292,659.75
  4. Step 4: Simplify right side
    195,592.50x = 85,649,729,270.06
  5. Step 5: Solve for x
    x = 85,649,729,270.06/195,592.50
  6. Step 6: Final answer
    x = 437,898.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.