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Finding the Third Proportional to 137,094 and 317,679

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Solution

The third proportional to 137,094 and 317,679 is: 736,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,094 : 317,679 = 317,679 : x
  2. Step 2: Convert to fraction form
    137,094/317,679 = 317,679/x
  3. Step 3: Cross multiply
    137,094x = 317,679 × 317,679
  4. Step 4: Simplify right side
    137,094x = 100,919,947,041
  5. Step 5: Solve for x
    x = 100,919,947,041/137,094
  6. Step 6: Final answer
    x = 736,136.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.