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Finding the Third Proportional to 197,064 and 436,248

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Solution

The third proportional to 197,064 and 436,248 is: 965,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,064 : 436,248 = 436,248 : x
  2. Step 2: Convert to fraction form
    197,064/436,248 = 436,248/x
  3. Step 3: Cross multiply
    197,064x = 436,248 × 436,248
  4. Step 4: Simplify right side
    197,064x = 190,312,317,504
  5. Step 5: Solve for x
    x = 190,312,317,504/197,064
  6. Step 6: Final answer
    x = 965,738.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.