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Finding the Third Proportional to 161,993.81 and 228,023.44

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Solution

The third proportional to 161,993.81 and 228,023.44 is: 320,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,993.81 : 228,023.44 = 228,023.44 : x
  2. Step 2: Convert to fraction form
    161,993.81/228,023.44 = 228,023.44/x
  3. Step 3: Cross multiply
    161,993.81x = 228,023.44 × 228,023.44
  4. Step 4: Simplify right side
    161,993.81x = 51,994,688,049.32
  5. Step 5: Solve for x
    x = 51,994,688,049.32/161,993.81
  6. Step 6: Final answer
    x = 320,967.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.