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Finding the Third Proportional to 160,904 and 352,912

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Solution

The third proportional to 160,904 and 352,912 is: 774,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,904 : 352,912 = 352,912 : x
  2. Step 2: Convert to fraction form
    160,904/352,912 = 352,912/x
  3. Step 3: Cross multiply
    160,904x = 352,912 × 352,912
  4. Step 4: Simplify right side
    160,904x = 124,546,879,744
  5. Step 5: Solve for x
    x = 124,546,879,744/160,904
  6. Step 6: Final answer
    x = 774,044.65

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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.