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Finding the Third Proportional to 133,677 and 287,442

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Solution

The third proportional to 133,677 and 287,442 is: 618,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,677 : 287,442 = 287,442 : x
  2. Step 2: Convert to fraction form
    133,677/287,442 = 287,442/x
  3. Step 3: Cross multiply
    133,677x = 287,442 × 287,442
  4. Step 4: Simplify right side
    133,677x = 82,622,903,364
  5. Step 5: Solve for x
    x = 82,622,903,364/133,677
  6. Step 6: Final answer
    x = 618,078.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.