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Finding the Third Proportional to 132,967 and 277,152

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Solution

The third proportional to 132,967 and 277,152 is: 577,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,967 : 277,152 = 277,152 : x
  2. Step 2: Convert to fraction form
    132,967/277,152 = 277,152/x
  3. Step 3: Cross multiply
    132,967x = 277,152 × 277,152
  4. Step 4: Simplify right side
    132,967x = 76,813,231,104
  5. Step 5: Solve for x
    x = 76,813,231,104/132,967
  6. Step 6: Final answer
    x = 577,686.43

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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.