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Finding the Third Proportional to 177,788.25 and 270,138

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Solution

The third proportional to 177,788.25 and 270,138 is: 410,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788.25 : 270,138 = 270,138 : x
  2. Step 2: Convert to fraction form
    177,788.25/270,138 = 270,138/x
  3. Step 3: Cross multiply
    177,788.25x = 270,138 × 270,138
  4. Step 4: Simplify right side
    177,788.25x = 72,974,539,044
  5. Step 5: Solve for x
    x = 72,974,539,044/177,788.25
  6. Step 6: Final answer
    x = 410,457.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.