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Finding the Third Proportional to 192,456 and 302,328

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Solution

The third proportional to 192,456 and 302,328 is: 474,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,456 : 302,328 = 302,328 : x
  2. Step 2: Convert to fraction form
    192,456/302,328 = 302,328/x
  3. Step 3: Cross multiply
    192,456x = 302,328 × 302,328
  4. Step 4: Simplify right side
    192,456x = 91,402,219,584
  5. Step 5: Solve for x
    x = 91,402,219,584/192,456
  6. Step 6: Final answer
    x = 474,925.28

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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.