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Finding the Third Proportional to 151,282.50 and 200,679

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Solution

The third proportional to 151,282.50 and 200,679 is: 266,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,282.50 : 200,679 = 200,679 : x
  2. Step 2: Convert to fraction form
    151,282.50/200,679 = 200,679/x
  3. Step 3: Cross multiply
    151,282.50x = 200,679 × 200,679
  4. Step 4: Simplify right side
    151,282.50x = 40,272,061,041
  5. Step 5: Solve for x
    x = 40,272,061,041/151,282.50
  6. Step 6: Final answer
    x = 266,204.36

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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.