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Finding the Third Proportional to 174,378.38 and 246,812.63

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Solution

The third proportional to 174,378.38 and 246,812.63 is: 349,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,378.38 : 246,812.63 = 246,812.63 : x
  2. Step 2: Convert to fraction form
    174,378.38/246,812.63 = 246,812.63/x
  3. Step 3: Cross multiply
    174,378.38x = 246,812.63 × 246,812.63
  4. Step 4: Simplify right side
    174,378.38x = 60,916,471,859.39
  5. Step 5: Solve for x
    x = 60,916,471,859.39/174,378.38
  6. Step 6: Final answer
    x = 349,335.01

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.