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Finding the Third Proportional to 132,763 and 286,727

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Solution

The third proportional to 132,763 and 286,727 is: 619,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,763 : 286,727 = 286,727 : x
  2. Step 2: Convert to fraction form
    132,763/286,727 = 286,727/x
  3. Step 3: Cross multiply
    132,763x = 286,727 × 286,727
  4. Step 4: Simplify right side
    132,763x = 82,212,372,529
  5. Step 5: Solve for x
    x = 82,212,372,529/132,763
  6. Step 6: Final answer
    x = 619,241.60

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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.