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Finding the Third Proportional to 193,548 and 304,146

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Solution

The third proportional to 193,548 and 304,146 is: 477,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,548 : 304,146 = 304,146 : x
  2. Step 2: Convert to fraction form
    193,548/304,146 = 304,146/x
  3. Step 3: Cross multiply
    193,548x = 304,146 × 304,146
  4. Step 4: Simplify right side
    193,548x = 92,504,789,316
  5. Step 5: Solve for x
    x = 92,504,789,316/193,548
  6. Step 6: Final answer
    x = 477,942.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.