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Finding the Third Proportional to 180,733.50 and 270,553

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Solution

The third proportional to 180,733.50 and 270,553 is: 405,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,733.50 : 270,553 = 270,553 : x
  2. Step 2: Convert to fraction form
    180,733.50/270,553 = 270,553/x
  3. Step 3: Cross multiply
    180,733.50x = 270,553 × 270,553
  4. Step 4: Simplify right side
    180,733.50x = 73,198,925,809
  5. Step 5: Solve for x
    x = 73,198,925,809/180,733.50
  6. Step 6: Final answer
    x = 405,010.28

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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.