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Finding the Third Proportional to 141,224 and 204,036

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Solution

The third proportional to 141,224 and 204,036 is: 294,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,224 : 204,036 = 204,036 : x
  2. Step 2: Convert to fraction form
    141,224/204,036 = 204,036/x
  3. Step 3: Cross multiply
    141,224x = 204,036 × 204,036
  4. Step 4: Simplify right side
    141,224x = 41,630,689,296
  5. Step 5: Solve for x
    x = 41,630,689,296/141,224
  6. Step 6: Final answer
    x = 294,784.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.