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Finding the Third Proportional to 197,045 and 305,733

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Solution

The third proportional to 197,045 and 305,733 is: 474,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,045 : 305,733 = 305,733 : x
  2. Step 2: Convert to fraction form
    197,045/305,733 = 305,733/x
  3. Step 3: Cross multiply
    197,045x = 305,733 × 305,733
  4. Step 4: Simplify right side
    197,045x = 93,472,667,289
  5. Step 5: Solve for x
    x = 93,472,667,289/197,045
  6. Step 6: Final answer
    x = 474,372.19

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Why These Related Problems?

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