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Finding the Third Proportional to 165,009 and 359,646

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Solution

The third proportional to 165,009 and 359,646 is: 783,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,009 : 359,646 = 359,646 : x
  2. Step 2: Convert to fraction form
    165,009/359,646 = 359,646/x
  3. Step 3: Cross multiply
    165,009x = 359,646 × 359,646
  4. Step 4: Simplify right side
    165,009x = 129,345,245,316
  5. Step 5: Solve for x
    x = 129,345,245,316/165,009
  6. Step 6: Final answer
    x = 783,867.82

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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.