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Finding the Third Proportional to 74,307 and 160,734

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Solution

The third proportional to 74,307 and 160,734 is: 347,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,307 : 160,734 = 160,734 : x
  2. Step 2: Convert to fraction form
    74,307/160,734 = 160,734/x
  3. Step 3: Cross multiply
    74,307x = 160,734 × 160,734
  4. Step 4: Simplify right side
    74,307x = 25,835,418,756
  5. Step 5: Solve for x
    x = 25,835,418,756/74,307
  6. Step 6: Final answer
    x = 347,684.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.