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Finding the Third Proportional to 226,969.50 and 341,433

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Solution

The third proportional to 226,969.50 and 341,433 is: 513,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,969.50 : 341,433 = 341,433 : x
  2. Step 2: Convert to fraction form
    226,969.50/341,433 = 341,433/x
  3. Step 3: Cross multiply
    226,969.50x = 341,433 × 341,433
  4. Step 4: Simplify right side
    226,969.50x = 116,576,493,489
  5. Step 5: Solve for x
    x = 116,576,493,489/226,969.50
  6. Step 6: Final answer
    x = 513,621.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.