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Finding the Third Proportional to 162,022.50 and 243,027

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Solution

The third proportional to 162,022.50 and 243,027 is: 364,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,022.50 : 243,027 = 243,027 : x
  2. Step 2: Convert to fraction form
    162,022.50/243,027 = 243,027/x
  3. Step 3: Cross multiply
    162,022.50x = 243,027 × 243,027
  4. Step 4: Simplify right side
    162,022.50x = 59,062,122,729
  5. Step 5: Solve for x
    x = 59,062,122,729/162,022.50
  6. Step 6: Final answer
    x = 364,530.38

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Why These Related Problems?

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