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Finding the Third Proportional to 143,956 and 297,132

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Solution

The third proportional to 143,956 and 297,132 is: 613,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,956 : 297,132 = 297,132 : x
  2. Step 2: Convert to fraction form
    143,956/297,132 = 297,132/x
  3. Step 3: Cross multiply
    143,956x = 297,132 × 297,132
  4. Step 4: Simplify right side
    143,956x = 88,287,425,424
  5. Step 5: Solve for x
    x = 88,287,425,424/143,956
  6. Step 6: Final answer
    x = 613,294.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.