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Finding the Third Proportional to 151,290 and 200,688.75

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Solution

The third proportional to 151,290 and 200,688.75 is: 266,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,290 : 200,688.75 = 200,688.75 : x
  2. Step 2: Convert to fraction form
    151,290/200,688.75 = 200,688.75/x
  3. Step 3: Cross multiply
    151,290x = 200,688.75 × 200,688.75
  4. Step 4: Simplify right side
    151,290x = 40,275,974,376.56
  5. Step 5: Solve for x
    x = 40,275,974,376.56/151,290
  6. Step 6: Final answer
    x = 266,217.03

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.