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Finding the Third Proportional to 182,027.25 and 378,580.50

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Solution

The third proportional to 182,027.25 and 378,580.50 is: 787,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,027.25 : 378,580.50 = 378,580.50 : x
  2. Step 2: Convert to fraction form
    182,027.25/378,580.50 = 378,580.50/x
  3. Step 3: Cross multiply
    182,027.25x = 378,580.50 × 378,580.50
  4. Step 4: Simplify right side
    182,027.25x = 143,323,194,980.25
  5. Step 5: Solve for x
    x = 143,323,194,980.25/182,027.25
  6. Step 6: Final answer
    x = 787,372.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.