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Finding the Third Proportional to 165,078 and 361,706

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Solution

The third proportional to 165,078 and 361,706 is: 792,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,078 : 361,706 = 361,706 : x
  2. Step 2: Convert to fraction form
    165,078/361,706 = 361,706/x
  3. Step 3: Cross multiply
    165,078x = 361,706 × 361,706
  4. Step 4: Simplify right side
    165,078x = 130,831,230,436
  5. Step 5: Solve for x
    x = 130,831,230,436/165,078
  6. Step 6: Final answer
    x = 792,541.89

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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.