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Finding the Third Proportional to 177,858.50 and 273,348

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Solution

The third proportional to 177,858.50 and 273,348 is: 420,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,858.50 : 273,348 = 273,348 : x
  2. Step 2: Convert to fraction form
    177,858.50/273,348 = 273,348/x
  3. Step 3: Cross multiply
    177,858.50x = 273,348 × 273,348
  4. Step 4: Simplify right side
    177,858.50x = 74,719,129,104
  5. Step 5: Solve for x
    x = 74,719,129,104/177,858.50
  6. Step 6: Final answer
    x = 420,104.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.