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Finding the Third Proportional to 180,132 and 270,294

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Solution

The third proportional to 180,132 and 270,294 is: 405,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,132 : 270,294 = 270,294 : x
  2. Step 2: Convert to fraction form
    180,132/270,294 = 270,294/x
  3. Step 3: Cross multiply
    180,132x = 270,294 × 270,294
  4. Step 4: Simplify right side
    180,132x = 73,058,846,436
  5. Step 5: Solve for x
    x = 73,058,846,436/180,132
  6. Step 6: Final answer
    x = 405,585.05

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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.