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Finding the Third Proportional to 132,677 and 277,653

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Solution

The third proportional to 132,677 and 277,653 is: 581,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,677 : 277,653 = 277,653 : x
  2. Step 2: Convert to fraction form
    132,677/277,653 = 277,653/x
  3. Step 3: Cross multiply
    132,677x = 277,653 × 277,653
  4. Step 4: Simplify right side
    132,677x = 77,091,188,409
  5. Step 5: Solve for x
    x = 77,091,188,409/132,677
  6. Step 6: Final answer
    x = 581,044.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.