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Finding the Third Proportional to 151,288.50 and 200,688

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Solution

The third proportional to 151,288.50 and 200,688 is: 266,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,288.50 : 200,688 = 200,688 : x
  2. Step 2: Convert to fraction form
    151,288.50/200,688 = 200,688/x
  3. Step 3: Cross multiply
    151,288.50x = 200,688 × 200,688
  4. Step 4: Simplify right side
    151,288.50x = 40,275,673,344
  5. Step 5: Solve for x
    x = 40,275,673,344/151,288.50
  6. Step 6: Final answer
    x = 266,217.68

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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.