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Finding the Third Proportional to 245,738 and 330,219

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Solution

The third proportional to 245,738 and 330,219 is: 443,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,738 : 330,219 = 330,219 : x
  2. Step 2: Convert to fraction form
    245,738/330,219 = 330,219/x
  3. Step 3: Cross multiply
    245,738x = 330,219 × 330,219
  4. Step 4: Simplify right side
    245,738x = 109,044,587,961
  5. Step 5: Solve for x
    x = 109,044,587,961/245,738
  6. Step 6: Final answer
    x = 443,743.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.