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Finding the Third Proportional to 164,012.63 and 267,819.75

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Solution

The third proportional to 164,012.63 and 267,819.75 is: 437,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,012.63 : 267,819.75 = 267,819.75 : x
  2. Step 2: Convert to fraction form
    164,012.63/267,819.75 = 267,819.75/x
  3. Step 3: Cross multiply
    164,012.63x = 267,819.75 × 267,819.75
  4. Step 4: Simplify right side
    164,012.63x = 71,727,418,490.06
  5. Step 5: Solve for x
    x = 71,727,418,490.06/164,012.63
  6. Step 6: Final answer
    x = 437,328.64

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.