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Finding the Third Proportional to 137,848 and 300,308

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Solution

The third proportional to 137,848 and 300,308 is: 654,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,848 : 300,308 = 300,308 : x
  2. Step 2: Convert to fraction form
    137,848/300,308 = 300,308/x
  3. Step 3: Cross multiply
    137,848x = 300,308 × 300,308
  4. Step 4: Simplify right side
    137,848x = 90,184,894,864
  5. Step 5: Solve for x
    x = 90,184,894,864/137,848
  6. Step 6: Final answer
    x = 654,234.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.