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Finding the Third Proportional to 140,238 and 307,692

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Solution

The third proportional to 140,238 and 307,692 is: 675,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,238 : 307,692 = 307,692 : x
  2. Step 2: Convert to fraction form
    140,238/307,692 = 307,692/x
  3. Step 3: Cross multiply
    140,238x = 307,692 × 307,692
  4. Step 4: Simplify right side
    140,238x = 94,674,366,864
  5. Step 5: Solve for x
    x = 94,674,366,864/140,238
  6. Step 6: Final answer
    x = 675,097.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.