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Finding the Third Proportional to 182,720.50 and 440,194.50

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Solution

The third proportional to 182,720.50 and 440,194.50 is: 1,060,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,720.50 : 440,194.50 = 440,194.50 : x
  2. Step 2: Convert to fraction form
    182,720.50/440,194.50 = 440,194.50/x
  3. Step 3: Cross multiply
    182,720.50x = 440,194.50 × 440,194.50
  4. Step 4: Simplify right side
    182,720.50x = 193,771,197,830.25
  5. Step 5: Solve for x
    x = 193,771,197,830.25/182,720.50
  6. Step 6: Final answer
    x = 1,060,478.70

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.