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Finding the Third Proportional to 164,028.38 and 209,597.63

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Solution

The third proportional to 164,028.38 and 209,597.63 is: 267,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,028.38 : 209,597.63 = 209,597.63 : x
  2. Step 2: Convert to fraction form
    164,028.38/209,597.63 = 209,597.63/x
  3. Step 3: Cross multiply
    164,028.38x = 209,597.63 × 209,597.63
  4. Step 4: Simplify right side
    164,028.38x = 43,931,164,405.64
  5. Step 5: Solve for x
    x = 43,931,164,405.64/164,028.38
  6. Step 6: Final answer
    x = 267,826.61

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.