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Finding the Third Proportional to 132,944 and 289,214

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Solution

The third proportional to 132,944 and 289,214 is: 629,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,944 : 289,214 = 289,214 : x
  2. Step 2: Convert to fraction form
    132,944/289,214 = 289,214/x
  3. Step 3: Cross multiply
    132,944x = 289,214 × 289,214
  4. Step 4: Simplify right side
    132,944x = 83,644,737,796
  5. Step 5: Solve for x
    x = 83,644,737,796/132,944
  6. Step 6: Final answer
    x = 629,172.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.