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Finding the Third Proportional to 131,402.25 and 205,896.94

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Solution

The third proportional to 131,402.25 and 205,896.94 is: 322,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,402.25 : 205,896.94 = 205,896.94 : x
  2. Step 2: Convert to fraction form
    131,402.25/205,896.94 = 205,896.94/x
  3. Step 3: Cross multiply
    131,402.25x = 205,896.94 × 205,896.94
  4. Step 4: Simplify right side
    131,402.25x = 42,393,548,871.88
  5. Step 5: Solve for x
    x = 42,393,548,871.88/131,402.25
  6. Step 6: Final answer
    x = 322,624.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.