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Finding the Third Proportional to 165,008 and 359,644

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Solution

The third proportional to 165,008 and 359,644 is: 783,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,008 : 359,644 = 359,644 : x
  2. Step 2: Convert to fraction form
    165,008/359,644 = 359,644/x
  3. Step 3: Cross multiply
    165,008x = 359,644 × 359,644
  4. Step 4: Simplify right side
    165,008x = 129,343,806,736
  5. Step 5: Solve for x
    x = 129,343,806,736/165,008
  6. Step 6: Final answer
    x = 783,863.85

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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.