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Finding the Third Proportional to 196,504 and 296,409

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Solution

The third proportional to 196,504 and 296,409 is: 447,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,504 : 296,409 = 296,409 : x
  2. Step 2: Convert to fraction form
    196,504/296,409 = 296,409/x
  3. Step 3: Cross multiply
    196,504x = 296,409 × 296,409
  4. Step 4: Simplify right side
    196,504x = 87,858,295,281
  5. Step 5: Solve for x
    x = 87,858,295,281/196,504
  6. Step 6: Final answer
    x = 447,106.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.