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Finding the Third Proportional to 224,656.50 and 337,090.50

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Solution

The third proportional to 224,656.50 and 337,090.50 is: 505,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,656.50 : 337,090.50 = 337,090.50 : x
  2. Step 2: Convert to fraction form
    224,656.50/337,090.50 = 337,090.50/x
  3. Step 3: Cross multiply
    224,656.50x = 337,090.50 × 337,090.50
  4. Step 4: Simplify right side
    224,656.50x = 113,630,005,190.25
  5. Step 5: Solve for x
    x = 113,630,005,190.25/224,656.50
  6. Step 6: Final answer
    x = 505,794.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.