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Finding the Third Proportional to 111,432.50 and 235,165

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Solution

The third proportional to 111,432.50 and 235,165 is: 496,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,432.50 : 235,165 = 235,165 : x
  2. Step 2: Convert to fraction form
    111,432.50/235,165 = 235,165/x
  3. Step 3: Cross multiply
    111,432.50x = 235,165 × 235,165
  4. Step 4: Simplify right side
    111,432.50x = 55,302,577,225
  5. Step 5: Solve for x
    x = 55,302,577,225/111,432.50
  6. Step 6: Final answer
    x = 496,287.68

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.