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Finding the Third Proportional to 132,969 and 277,156

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Solution

The third proportional to 132,969 and 277,156 is: 577,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,969 : 277,156 = 277,156 : x
  2. Step 2: Convert to fraction form
    132,969/277,156 = 277,156/x
  3. Step 3: Cross multiply
    132,969x = 277,156 × 277,156
  4. Step 4: Simplify right side
    132,969x = 76,815,448,336
  5. Step 5: Solve for x
    x = 76,815,448,336/132,969
  6. Step 6: Final answer
    x = 577,694.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.