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Finding the Third Proportional to 163,467 and 219,240

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Solution

The third proportional to 163,467 and 219,240 is: 294,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,467 : 219,240 = 219,240 : x
  2. Step 2: Convert to fraction form
    163,467/219,240 = 219,240/x
  3. Step 3: Cross multiply
    163,467x = 219,240 × 219,240
  4. Step 4: Simplify right side
    163,467x = 48,066,177,600
  5. Step 5: Solve for x
    x = 48,066,177,600/163,467
  6. Step 6: Final answer
    x = 294,042.09

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