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Finding the Third Proportional to 197,077.75 and 304,350.50

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Solution

The third proportional to 197,077.75 and 304,350.50 is: 470,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,077.75 : 304,350.50 = 304,350.50 : x
  2. Step 2: Convert to fraction form
    197,077.75/304,350.50 = 304,350.50/x
  3. Step 3: Cross multiply
    197,077.75x = 304,350.50 × 304,350.50
  4. Step 4: Simplify right side
    197,077.75x = 92,629,226,850.25
  5. Step 5: Solve for x
    x = 92,629,226,850.25/197,077.75
  6. Step 6: Final answer
    x = 470,013.62

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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.