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Finding the Third Proportional to 140,944 and 304,544

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Solution

The third proportional to 140,944 and 304,544 is: 658,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,944 : 304,544 = 304,544 : x
  2. Step 2: Convert to fraction form
    140,944/304,544 = 304,544/x
  3. Step 3: Cross multiply
    140,944x = 304,544 × 304,544
  4. Step 4: Simplify right side
    140,944x = 92,747,047,936
  5. Step 5: Solve for x
    x = 92,747,047,936/140,944
  6. Step 6: Final answer
    x = 658,041.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.