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Finding the Third Proportional to 131,494.50 and 203,397.75

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Solution

The third proportional to 131,494.50 and 203,397.75 is: 314,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,494.50 : 203,397.75 = 203,397.75 : x
  2. Step 2: Convert to fraction form
    131,494.50/203,397.75 = 203,397.75/x
  3. Step 3: Cross multiply
    131,494.50x = 203,397.75 × 203,397.75
  4. Step 4: Simplify right side
    131,494.50x = 41,370,644,705.06
  5. Step 5: Solve for x
    x = 41,370,644,705.06/131,494.50
  6. Step 6: Final answer
    x = 314,618.82

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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.