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Finding the Third Proportional to 74,296 and 155,880

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Solution

The third proportional to 74,296 and 155,880 is: 327,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,296 : 155,880 = 155,880 : x
  2. Step 2: Convert to fraction form
    74,296/155,880 = 155,880/x
  3. Step 3: Cross multiply
    74,296x = 155,880 × 155,880
  4. Step 4: Simplify right side
    74,296x = 24,298,574,400
  5. Step 5: Solve for x
    x = 24,298,574,400/74,296
  6. Step 6: Final answer
    x = 327,050.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.