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Finding the Third Proportional to 192,672 and 302,640

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Solution

The third proportional to 192,672 and 302,640 is: 475,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,672 : 302,640 = 302,640 : x
  2. Step 2: Convert to fraction form
    192,672/302,640 = 302,640/x
  3. Step 3: Cross multiply
    192,672x = 302,640 × 302,640
  4. Step 4: Simplify right side
    192,672x = 91,590,969,600
  5. Step 5: Solve for x
    x = 91,590,969,600/192,672
  6. Step 6: Final answer
    x = 475,372.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.