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Finding the Third Proportional to 131,444 and 203,906

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Solution

The third proportional to 131,444 and 203,906 is: 316,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,444 : 203,906 = 203,906 : x
  2. Step 2: Convert to fraction form
    131,444/203,906 = 203,906/x
  3. Step 3: Cross multiply
    131,444x = 203,906 × 203,906
  4. Step 4: Simplify right side
    131,444x = 41,577,656,836
  5. Step 5: Solve for x
    x = 41,577,656,836/131,444
  6. Step 6: Final answer
    x = 316,314.60

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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.