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Finding the Third Proportional to 74,865 and 160,684

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Solution

The third proportional to 74,865 and 160,684 is: 344,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,865 : 160,684 = 160,684 : x
  2. Step 2: Convert to fraction form
    74,865/160,684 = 160,684/x
  3. Step 3: Cross multiply
    74,865x = 160,684 × 160,684
  4. Step 4: Simplify right side
    74,865x = 25,819,347,856
  5. Step 5: Solve for x
    x = 25,819,347,856/74,865
  6. Step 6: Final answer
    x = 344,878.75

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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.