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Finding the Third Proportional to 132,745 and 286,601

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Solution

The third proportional to 132,745 and 286,601 is: 618,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,745 : 286,601 = 286,601 : x
  2. Step 2: Convert to fraction form
    132,745/286,601 = 286,601/x
  3. Step 3: Cross multiply
    132,745x = 286,601 × 286,601
  4. Step 4: Simplify right side
    132,745x = 82,140,133,201
  5. Step 5: Solve for x
    x = 82,140,133,201/132,745
  6. Step 6: Final answer
    x = 618,781.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.