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Finding the Third Proportional to 165,792 and 362,688

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Solution

The third proportional to 165,792 and 362,688 is: 793,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,792 : 362,688 = 362,688 : x
  2. Step 2: Convert to fraction form
    165,792/362,688 = 362,688/x
  3. Step 3: Cross multiply
    165,792x = 362,688 × 362,688
  4. Step 4: Simplify right side
    165,792x = 131,542,585,344
  5. Step 5: Solve for x
    x = 131,542,585,344/165,792
  6. Step 6: Final answer
    x = 793,419.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.