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Finding the Third Proportional to 164,020 and 267,826

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Solution

The third proportional to 164,020 and 267,826 is: 437,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,020 : 267,826 = 267,826 : x
  2. Step 2: Convert to fraction form
    164,020/267,826 = 267,826/x
  3. Step 3: Cross multiply
    164,020x = 267,826 × 267,826
  4. Step 4: Simplify right side
    164,020x = 71,730,766,276
  5. Step 5: Solve for x
    x = 71,730,766,276/164,020
  6. Step 6: Final answer
    x = 437,329.39

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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.