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Finding the Third Proportional to 174,446 and 375,621.50

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Solution

The third proportional to 174,446 and 375,621.50 is: 808,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,446 : 375,621.50 = 375,621.50 : x
  2. Step 2: Convert to fraction form
    174,446/375,621.50 = 375,621.50/x
  3. Step 3: Cross multiply
    174,446x = 375,621.50 × 375,621.50
  4. Step 4: Simplify right side
    174,446x = 141,091,511,262.25
  5. Step 5: Solve for x
    x = 141,091,511,262.25/174,446
  6. Step 6: Final answer
    x = 808,797.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.