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Finding the Third Proportional to 168,224 and 362,688

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Solution

The third proportional to 168,224 and 362,688 is: 781,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,224 : 362,688 = 362,688 : x
  2. Step 2: Convert to fraction form
    168,224/362,688 = 362,688/x
  3. Step 3: Cross multiply
    168,224x = 362,688 × 362,688
  4. Step 4: Simplify right side
    168,224x = 131,542,585,344
  5. Step 5: Solve for x
    x = 131,542,585,344/168,224
  6. Step 6: Final answer
    x = 781,948.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.