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Finding the Third Proportional to 132,774 and 286,677

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Solution

The third proportional to 132,774 and 286,677 is: 618,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,774 : 286,677 = 286,677 : x
  2. Step 2: Convert to fraction form
    132,774/286,677 = 286,677/x
  3. Step 3: Cross multiply
    132,774x = 286,677 × 286,677
  4. Step 4: Simplify right side
    132,774x = 82,183,702,329
  5. Step 5: Solve for x
    x = 82,183,702,329/132,774
  6. Step 6: Final answer
    x = 618,974.36

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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.