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Finding the Third Proportional to 189,670.50 and 266,847.75

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Solution

The third proportional to 189,670.50 and 266,847.75 is: 375,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,670.50 : 266,847.75 = 266,847.75 : x
  2. Step 2: Convert to fraction form
    189,670.50/266,847.75 = 266,847.75/x
  3. Step 3: Cross multiply
    189,670.50x = 266,847.75 × 266,847.75
  4. Step 4: Simplify right side
    189,670.50x = 71,207,721,680.06
  5. Step 5: Solve for x
    x = 71,207,721,680.06/189,670.50
  6. Step 6: Final answer
    x = 375,428.55

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.