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Finding the Third Proportional to 245,848 and 336,456

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Solution

The third proportional to 245,848 and 336,456 is: 460,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,848 : 336,456 = 336,456 : x
  2. Step 2: Convert to fraction form
    245,848/336,456 = 336,456/x
  3. Step 3: Cross multiply
    245,848x = 336,456 × 336,456
  4. Step 4: Simplify right side
    245,848x = 113,202,639,936
  5. Step 5: Solve for x
    x = 113,202,639,936/245,848
  6. Step 6: Final answer
    x = 460,457.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.