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Finding the Third Proportional to 155,934.50 and 203,915

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Solution

The third proportional to 155,934.50 and 203,915 is: 266,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,934.50 : 203,915 = 203,915 : x
  2. Step 2: Convert to fraction form
    155,934.50/203,915 = 203,915/x
  3. Step 3: Cross multiply
    155,934.50x = 203,915 × 203,915
  4. Step 4: Simplify right side
    155,934.50x = 41,581,327,225
  5. Step 5: Solve for x
    x = 41,581,327,225/155,934.50
  6. Step 6: Final answer
    x = 266,658.93

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.