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Finding the Third Proportional to 140,151.75 and 196,528.50

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Solution

The third proportional to 140,151.75 and 196,528.50 is: 275,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,151.75 : 196,528.50 = 196,528.50 : x
  2. Step 2: Convert to fraction form
    140,151.75/196,528.50 = 196,528.50/x
  3. Step 3: Cross multiply
    140,151.75x = 196,528.50 × 196,528.50
  4. Step 4: Simplify right side
    140,151.75x = 38,623,451,312.25
  5. Step 5: Solve for x
    x = 38,623,451,312.25/140,151.75
  6. Step 6: Final answer
    x = 275,583.08

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.