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Finding the Third Proportional to 150,943.50 and 331,047

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Solution

The third proportional to 150,943.50 and 331,047 is: 726,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,943.50 : 331,047 = 331,047 : x
  2. Step 2: Convert to fraction form
    150,943.50/331,047 = 331,047/x
  3. Step 3: Cross multiply
    150,943.50x = 331,047 × 331,047
  4. Step 4: Simplify right side
    150,943.50x = 109,592,116,209
  5. Step 5: Solve for x
    x = 109,592,116,209/150,943.50
  6. Step 6: Final answer
    x = 726,047.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.