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Finding the Third Proportional to 177,165 and 274,495.50

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Solution

The third proportional to 177,165 and 274,495.50 is: 425,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,165 : 274,495.50 = 274,495.50 : x
  2. Step 2: Convert to fraction form
    177,165/274,495.50 = 274,495.50/x
  3. Step 3: Cross multiply
    177,165x = 274,495.50 × 274,495.50
  4. Step 4: Simplify right side
    177,165x = 75,347,779,520.25
  5. Step 5: Solve for x
    x = 75,347,779,520.25/177,165
  6. Step 6: Final answer
    x = 425,297.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.