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Finding the Third Proportional to 112,420 and 235,232

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Solution

The third proportional to 112,420 and 235,232 is: 492,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,420 : 235,232 = 235,232 : x
  2. Step 2: Convert to fraction form
    112,420/235,232 = 235,232/x
  3. Step 3: Cross multiply
    112,420x = 235,232 × 235,232
  4. Step 4: Simplify right side
    112,420x = 55,334,093,824
  5. Step 5: Solve for x
    x = 55,334,093,824/112,420
  6. Step 6: Final answer
    x = 492,208.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.