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Finding the Third Proportional to 139,048 and 304,232

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Solution

The third proportional to 139,048 and 304,232 is: 665,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,048 : 304,232 = 304,232 : x
  2. Step 2: Convert to fraction form
    139,048/304,232 = 304,232/x
  3. Step 3: Cross multiply
    139,048x = 304,232 × 304,232
  4. Step 4: Simplify right side
    139,048x = 92,557,109,824
  5. Step 5: Solve for x
    x = 92,557,109,824/139,048
  6. Step 6: Final answer
    x = 665,648.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.