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Finding the Third Proportional to 165,012 and 359,652

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Solution

The third proportional to 165,012 and 359,652 is: 783,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,012 : 359,652 = 359,652 : x
  2. Step 2: Convert to fraction form
    165,012/359,652 = 359,652/x
  3. Step 3: Cross multiply
    165,012x = 359,652 × 359,652
  4. Step 4: Simplify right side
    165,012x = 129,349,561,104
  5. Step 5: Solve for x
    x = 129,349,561,104/165,012
  6. Step 6: Final answer
    x = 783,879.72

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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.