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Finding the Third Proportional to 168,276 and 359,004

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Solution

The third proportional to 168,276 and 359,004 is: 765,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,276 : 359,004 = 359,004 : x
  2. Step 2: Convert to fraction form
    168,276/359,004 = 359,004/x
  3. Step 3: Cross multiply
    168,276x = 359,004 × 359,004
  4. Step 4: Simplify right side
    168,276x = 128,883,872,016
  5. Step 5: Solve for x
    x = 128,883,872,016/168,276
  6. Step 6: Final answer
    x = 765,907.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.