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Finding the Third Proportional to 150,002.50 and 316,866

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Solution

The third proportional to 150,002.50 and 316,866 is: 669,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,002.50 : 316,866 = 316,866 : x
  2. Step 2: Convert to fraction form
    150,002.50/316,866 = 316,866/x
  3. Step 3: Cross multiply
    150,002.50x = 316,866 × 316,866
  4. Step 4: Simplify right side
    150,002.50x = 100,404,061,956
  5. Step 5: Solve for x
    x = 100,404,061,956/150,002.50
  6. Step 6: Final answer
    x = 669,349.26

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.