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Finding the Third Proportional to 131,244.09 and 203,609.44

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Solution

The third proportional to 131,244.09 and 203,609.44 is: 315,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,244.09 : 203,609.44 = 203,609.44 : x
  2. Step 2: Convert to fraction form
    131,244.09/203,609.44 = 203,609.44/x
  3. Step 3: Cross multiply
    131,244.09x = 203,609.44 × 203,609.44
  4. Step 4: Simplify right side
    131,244.09x = 41,456,803,039.07
  5. Step 5: Solve for x
    x = 41,456,803,039.07/131,244.09
  6. Step 6: Final answer
    x = 315,875.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.