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Finding the Third Proportional to 245,824 and 332,128

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Solution

The third proportional to 245,824 and 332,128 is: 448,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,824 : 332,128 = 332,128 : x
  2. Step 2: Convert to fraction form
    245,824/332,128 = 332,128/x
  3. Step 3: Cross multiply
    245,824x = 332,128 × 332,128
  4. Step 4: Simplify right side
    245,824x = 110,309,008,384
  5. Step 5: Solve for x
    x = 110,309,008,384/245,824
  6. Step 6: Final answer
    x = 448,731.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.