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Finding the Third Proportional to 164,265 and 237,375

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Solution

The third proportional to 164,265 and 237,375 is: 343,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,265 : 237,375 = 237,375 : x
  2. Step 2: Convert to fraction form
    164,265/237,375 = 237,375/x
  3. Step 3: Cross multiply
    164,265x = 237,375 × 237,375
  4. Step 4: Simplify right side
    164,265x = 56,346,890,625
  5. Step 5: Solve for x
    x = 56,346,890,625/164,265
  6. Step 6: Final answer
    x = 343,024.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.