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Finding the Third Proportional to 197,081 and 304,354

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Solution

The third proportional to 197,081 and 304,354 is: 470,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,081 : 304,354 = 304,354 : x
  2. Step 2: Convert to fraction form
    197,081/304,354 = 304,354/x
  3. Step 3: Cross multiply
    197,081x = 304,354 × 304,354
  4. Step 4: Simplify right side
    197,081x = 92,631,357,316
  5. Step 5: Solve for x
    x = 92,631,357,316/197,081
  6. Step 6: Final answer
    x = 470,016.68

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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.