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Finding the Third Proportional to 110,598.50 and 166,445.50

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Solution

The third proportional to 110,598.50 and 166,445.50 is: 250,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,598.50 : 166,445.50 = 166,445.50 : x
  2. Step 2: Convert to fraction form
    110,598.50/166,445.50 = 166,445.50/x
  3. Step 3: Cross multiply
    110,598.50x = 166,445.50 × 166,445.50
  4. Step 4: Simplify right side
    110,598.50x = 27,704,104,470.25
  5. Step 5: Solve for x
    x = 27,704,104,470.25/110,598.50
  6. Step 6: Final answer
    x = 250,492.59

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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.