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Finding the Third Proportional to 197,044 and 305,731.50

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Solution

The third proportional to 197,044 and 305,731.50 is: 474,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,044 : 305,731.50 = 305,731.50 : x
  2. Step 2: Convert to fraction form
    197,044/305,731.50 = 305,731.50/x
  3. Step 3: Cross multiply
    197,044x = 305,731.50 × 305,731.50
  4. Step 4: Simplify right side
    197,044x = 93,471,750,092.25
  5. Step 5: Solve for x
    x = 93,471,750,092.25/197,044
  6. Step 6: Final answer
    x = 474,369.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.