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Finding the Third Proportional to 132,923 and 286,717

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Solution

The third proportional to 132,923 and 286,717 is: 618,453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,923 : 286,717 = 286,717 : x
  2. Step 2: Convert to fraction form
    132,923/286,717 = 286,717/x
  3. Step 3: Cross multiply
    132,923x = 286,717 × 286,717
  4. Step 4: Simplify right side
    132,923x = 82,206,638,089
  5. Step 5: Solve for x
    x = 82,206,638,089/132,923
  6. Step 6: Final answer
    x = 618,453.08

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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.