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Finding the Third Proportional to 164,029 and 267,842

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Solution

The third proportional to 164,029 and 267,842 is: 437,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,029 : 267,842 = 267,842 : x
  2. Step 2: Convert to fraction form
    164,029/267,842 = 267,842/x
  3. Step 3: Cross multiply
    164,029x = 267,842 × 267,842
  4. Step 4: Simplify right side
    164,029x = 71,739,336,964
  5. Step 5: Solve for x
    x = 71,739,336,964/164,029
  6. Step 6: Final answer
    x = 437,357.64

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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.