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Finding the Third Proportional to 251,119.13 and 378,943.03

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Solution

The third proportional to 251,119.13 and 378,943.03 is: 571,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,119.13 : 378,943.03 = 378,943.03 : x
  2. Step 2: Convert to fraction form
    251,119.13/378,943.03 = 378,943.03/x
  3. Step 3: Cross multiply
    251,119.13x = 378,943.03 × 378,943.03
  4. Step 4: Simplify right side
    251,119.13x = 143,597,820,932.94
  5. Step 5: Solve for x
    x = 143,597,820,932.94/251,119.13
  6. Step 6: Final answer
    x = 571,831.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.