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Finding the Third Proportional to 226,057.50 and 341,995.50

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Solution

The third proportional to 226,057.50 and 341,995.50 is: 517,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,057.50 : 341,995.50 = 341,995.50 : x
  2. Step 2: Convert to fraction form
    226,057.50/341,995.50 = 341,995.50/x
  3. Step 3: Cross multiply
    226,057.50x = 341,995.50 × 341,995.50
  4. Step 4: Simplify right side
    226,057.50x = 116,960,922,020.25
  5. Step 5: Solve for x
    x = 116,960,922,020.25/226,057.50
  6. Step 6: Final answer
    x = 517,394.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.