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Finding the Third Proportional to 131,337 and 203,755.50

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Solution

The third proportional to 131,337 and 203,755.50 is: 316,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,337 : 203,755.50 = 203,755.50 : x
  2. Step 2: Convert to fraction form
    131,337/203,755.50 = 203,755.50/x
  3. Step 3: Cross multiply
    131,337x = 203,755.50 × 203,755.50
  4. Step 4: Simplify right side
    131,337x = 41,516,303,780.25
  5. Step 5: Solve for x
    x = 41,516,303,780.25/131,337
  6. Step 6: Final answer
    x = 316,105.16

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