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Finding the Third Proportional to 140,238 and 300,147.75

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Solution

The third proportional to 140,238 and 300,147.75 is: 642,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,238 : 300,147.75 = 300,147.75 : x
  2. Step 2: Convert to fraction form
    140,238/300,147.75 = 300,147.75/x
  3. Step 3: Cross multiply
    140,238x = 300,147.75 × 300,147.75
  4. Step 4: Simplify right side
    140,238x = 90,088,671,830.06
  5. Step 5: Solve for x
    x = 90,088,671,830.06/140,238
  6. Step 6: Final answer
    x = 642,398.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.