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Finding the Third Proportional to 193,824 and 300,224

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Solution

The third proportional to 193,824 and 300,224 is: 465,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,824 : 300,224 = 300,224 : x
  2. Step 2: Convert to fraction form
    193,824/300,224 = 300,224/x
  3. Step 3: Cross multiply
    193,824x = 300,224 × 300,224
  4. Step 4: Simplify right side
    193,824x = 90,134,450,176
  5. Step 5: Solve for x
    x = 90,134,450,176/193,824
  6. Step 6: Final answer
    x = 465,032.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.