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Finding the Third Proportional to 74,633 and 160,817

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Solution

The third proportional to 74,633 and 160,817 is: 346,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,633 : 160,817 = 160,817 : x
  2. Step 2: Convert to fraction form
    74,633/160,817 = 160,817/x
  3. Step 3: Cross multiply
    74,633x = 160,817 × 160,817
  4. Step 4: Simplify right side
    74,633x = 25,862,107,489
  5. Step 5: Solve for x
    x = 25,862,107,489/74,633
  6. Step 6: Final answer
    x = 346,523.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.