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Finding the Third Proportional to 180,027 and 271,442.25

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Solution

The third proportional to 180,027 and 271,442.25 is: 409,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,027 : 271,442.25 = 271,442.25 : x
  2. Step 2: Convert to fraction form
    180,027/271,442.25 = 271,442.25/x
  3. Step 3: Cross multiply
    180,027x = 271,442.25 × 271,442.25
  4. Step 4: Simplify right side
    180,027x = 73,680,895,085.06
  5. Step 5: Solve for x
    x = 73,680,895,085.06/180,027
  6. Step 6: Final answer
    x = 409,276.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.