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Finding the Third Proportional to 143,621.44 and 227,313

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Solution

The third proportional to 143,621.44 and 227,313 is: 359,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,621.44 : 227,313 = 227,313 : x
  2. Step 2: Convert to fraction form
    143,621.44/227,313 = 227,313/x
  3. Step 3: Cross multiply
    143,621.44x = 227,313 × 227,313
  4. Step 4: Simplify right side
    143,621.44x = 51,671,199,969
  5. Step 5: Solve for x
    x = 51,671,199,969/143,621.44
  6. Step 6: Final answer
    x = 359,773.59

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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.