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Finding the Third Proportional to 147,817 and 335,093

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Solution

The third proportional to 147,817 and 335,093 is: 759,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,817 : 335,093 = 335,093 : x
  2. Step 2: Convert to fraction form
    147,817/335,093 = 335,093/x
  3. Step 3: Cross multiply
    147,817x = 335,093 × 335,093
  4. Step 4: Simplify right side
    147,817x = 112,287,318,649
  5. Step 5: Solve for x
    x = 112,287,318,649/147,817
  6. Step 6: Final answer
    x = 759,637.38

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.