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Finding the Third Proportional to 223,460.25 and 330,844.50

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Solution

The third proportional to 223,460.25 and 330,844.50 is: 489,832.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,460.25 : 330,844.50 = 330,844.50 : x
  2. Step 2: Convert to fraction form
    223,460.25/330,844.50 = 330,844.50/x
  3. Step 3: Cross multiply
    223,460.25x = 330,844.50 × 330,844.50
  4. Step 4: Simplify right side
    223,460.25x = 109,458,083,180.25
  5. Step 5: Solve for x
    x = 109,458,083,180.25/223,460.25
  6. Step 6: Final answer
    x = 489,832.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.