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Finding the Third Proportional to 196,302 and 296,094

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Solution

The third proportional to 196,302 and 296,094 is: 446,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,302 : 296,094 = 296,094 : x
  2. Step 2: Convert to fraction form
    196,302/296,094 = 296,094/x
  3. Step 3: Cross multiply
    196,302x = 296,094 × 296,094
  4. Step 4: Simplify right side
    196,302x = 87,671,656,836
  5. Step 5: Solve for x
    x = 87,671,656,836/196,302
  6. Step 6: Final answer
    x = 446,616.22

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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.