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Finding the Third Proportional to 164,349 and 246,159

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Solution

The third proportional to 164,349 and 246,159 is: 368,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,349 : 246,159 = 246,159 : x
  2. Step 2: Convert to fraction form
    164,349/246,159 = 246,159/x
  3. Step 3: Cross multiply
    164,349x = 246,159 × 246,159
  4. Step 4: Simplify right side
    164,349x = 60,594,253,281
  5. Step 5: Solve for x
    x = 60,594,253,281/164,349
  6. Step 6: Final answer
    x = 368,692.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.