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Finding the Third Proportional to 175,213.50 and 274,497

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Solution

The third proportional to 175,213.50 and 274,497 is: 430,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,213.50 : 274,497 = 274,497 : x
  2. Step 2: Convert to fraction form
    175,213.50/274,497 = 274,497/x
  3. Step 3: Cross multiply
    175,213.50x = 274,497 × 274,497
  4. Step 4: Simplify right side
    175,213.50x = 75,348,603,009
  5. Step 5: Solve for x
    x = 75,348,603,009/175,213.50
  6. Step 6: Final answer
    x = 430,038.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.