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Finding the Third Proportional to 106,640.50 and 246,877

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Solution

The third proportional to 106,640.50 and 246,877 is: 571,530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,640.50 : 246,877 = 246,877 : x
  2. Step 2: Convert to fraction form
    106,640.50/246,877 = 246,877/x
  3. Step 3: Cross multiply
    106,640.50x = 246,877 × 246,877
  4. Step 4: Simplify right side
    106,640.50x = 60,948,253,129
  5. Step 5: Solve for x
    x = 60,948,253,129/106,640.50
  6. Step 6: Final answer
    x = 571,530.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.