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Finding the Third Proportional to 180,027 and 202,383

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Solution

The third proportional to 180,027 and 202,383 is: 227,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,027 : 202,383 = 202,383 : x
  2. Step 2: Convert to fraction form
    180,027/202,383 = 202,383/x
  3. Step 3: Cross multiply
    180,027x = 202,383 × 202,383
  4. Step 4: Simplify right side
    180,027x = 40,958,878,689
  5. Step 5: Solve for x
    x = 40,958,878,689/180,027
  6. Step 6: Final answer
    x = 227,515.20

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.