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Finding the Third Proportional to 174,503.50 and 276,767.75

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Solution

The third proportional to 174,503.50 and 276,767.75 is: 438,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,503.50 : 276,767.75 = 276,767.75 : x
  2. Step 2: Convert to fraction form
    174,503.50/276,767.75 = 276,767.75/x
  3. Step 3: Cross multiply
    174,503.50x = 276,767.75 × 276,767.75
  4. Step 4: Simplify right side
    174,503.50x = 76,600,387,440.06
  5. Step 5: Solve for x
    x = 76,600,387,440.06/174,503.50
  6. Step 6: Final answer
    x = 438,961.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.