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Finding the Third Proportional to 197,078.50 and 304,351

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Solution

The third proportional to 197,078.50 and 304,351 is: 470,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,078.50 : 304,351 = 304,351 : x
  2. Step 2: Convert to fraction form
    197,078.50/304,351 = 304,351/x
  3. Step 3: Cross multiply
    197,078.50x = 304,351 × 304,351
  4. Step 4: Simplify right side
    197,078.50x = 92,629,531,201
  5. Step 5: Solve for x
    x = 92,629,531,201/197,078.50
  6. Step 6: Final answer
    x = 470,013.38

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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.