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Finding the Third Proportional to 143,352 and 227,741

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Solution

The third proportional to 143,352 and 227,741 is: 361,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,352 : 227,741 = 227,741 : x
  2. Step 2: Convert to fraction form
    143,352/227,741 = 227,741/x
  3. Step 3: Cross multiply
    143,352x = 227,741 × 227,741
  4. Step 4: Simplify right side
    143,352x = 51,865,963,081
  5. Step 5: Solve for x
    x = 51,865,963,081/143,352
  6. Step 6: Final answer
    x = 361,808.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.