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Finding the Third Proportional to 141,300 and 308,848

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Solution

The third proportional to 141,300 and 308,848 is: 675,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,300 : 308,848 = 308,848 : x
  2. Step 2: Convert to fraction form
    141,300/308,848 = 308,848/x
  3. Step 3: Cross multiply
    141,300x = 308,848 × 308,848
  4. Step 4: Simplify right side
    141,300x = 95,387,087,104
  5. Step 5: Solve for x
    x = 95,387,087,104/141,300
  6. Step 6: Final answer
    x = 675,067.85

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Why These Related Problems?

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