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Finding the Third Proportional to 188,025 and 283,630.50

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Solution

The third proportional to 188,025 and 283,630.50 is: 427,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,025 : 283,630.50 = 283,630.50 : x
  2. Step 2: Convert to fraction form
    188,025/283,630.50 = 283,630.50/x
  3. Step 3: Cross multiply
    188,025x = 283,630.50 × 283,630.50
  4. Step 4: Simplify right side
    188,025x = 80,446,260,530.25
  5. Step 5: Solve for x
    x = 80,446,260,530.25/188,025
  6. Step 6: Final answer
    x = 427,848.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.