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Finding the Third Proportional to 143,644.13 and 227,344.50

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Solution

The third proportional to 143,644.13 and 227,344.50 is: 359,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,644.13 : 227,344.50 = 227,344.50 : x
  2. Step 2: Convert to fraction form
    143,644.13/227,344.50 = 227,344.50/x
  3. Step 3: Cross multiply
    143,644.13x = 227,344.50 × 227,344.50
  4. Step 4: Simplify right side
    143,644.13x = 51,685,521,680.25
  5. Step 5: Solve for x
    x = 51,685,521,680.25/143,644.13
  6. Step 6: Final answer
    x = 359,816.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.