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Finding the Third Proportional to 165,006 and 359,640

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Solution

The third proportional to 165,006 and 359,640 is: 783,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,006 : 359,640 = 359,640 : x
  2. Step 2: Convert to fraction form
    165,006/359,640 = 359,640/x
  3. Step 3: Cross multiply
    165,006x = 359,640 × 359,640
  4. Step 4: Simplify right side
    165,006x = 129,340,929,600
  5. Step 5: Solve for x
    x = 129,340,929,600/165,006
  6. Step 6: Final answer
    x = 783,855.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.