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Finding the Third Proportional to 164,026 and 355,252

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Solution

The third proportional to 164,026 and 355,252 is: 769,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,026 : 355,252 = 355,252 : x
  2. Step 2: Convert to fraction form
    164,026/355,252 = 355,252/x
  3. Step 3: Cross multiply
    164,026x = 355,252 × 355,252
  4. Step 4: Simplify right side
    164,026x = 126,203,983,504
  5. Step 5: Solve for x
    x = 126,203,983,504/164,026
  6. Step 6: Final answer
    x = 769,414.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.