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Finding the Third Proportional to 197,089 and 304,381

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Solution

The third proportional to 197,089 and 304,381 is: 470,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,089 : 304,381 = 304,381 : x
  2. Step 2: Convert to fraction form
    197,089/304,381 = 304,381/x
  3. Step 3: Cross multiply
    197,089x = 304,381 × 304,381
  4. Step 4: Simplify right side
    197,089x = 92,647,793,161
  5. Step 5: Solve for x
    x = 92,647,793,161/197,089
  6. Step 6: Final answer
    x = 470,080.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.