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Finding the Third Proportional to 147,143 and 227,793

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Solution

The third proportional to 147,143 and 227,793 is: 352,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,143 : 227,793 = 227,793 : x
  2. Step 2: Convert to fraction form
    147,143/227,793 = 227,793/x
  3. Step 3: Cross multiply
    147,143x = 227,793 × 227,793
  4. Step 4: Simplify right side
    147,143x = 51,889,650,849
  5. Step 5: Solve for x
    x = 51,889,650,849/147,143
  6. Step 6: Final answer
    x = 352,647.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.