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Finding the Third Proportional to 245,076 and 332,610

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Solution

The third proportional to 245,076 and 332,610 is: 451,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,076 : 332,610 = 332,610 : x
  2. Step 2: Convert to fraction form
    245,076/332,610 = 332,610/x
  3. Step 3: Cross multiply
    245,076x = 332,610 × 332,610
  4. Step 4: Simplify right side
    245,076x = 110,629,412,100
  5. Step 5: Solve for x
    x = 110,629,412,100/245,076
  6. Step 6: Final answer
    x = 451,408.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.