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Finding the Third Proportional to 65,980 and 155,600

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Solution

The third proportional to 65,980 and 155,600 is: 366,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,980 : 155,600 = 155,600 : x
  2. Step 2: Convert to fraction form
    65,980/155,600 = 155,600/x
  3. Step 3: Cross multiply
    65,980x = 155,600 × 155,600
  4. Step 4: Simplify right side
    65,980x = 24,211,360,000
  5. Step 5: Solve for x
    x = 24,211,360,000/65,980
  6. Step 6: Final answer
    x = 366,949.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.