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Finding the Third Proportional to 163,064 and 353,268

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Solution

The third proportional to 163,064 and 353,268 is: 765,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,064 : 353,268 = 353,268 : x
  2. Step 2: Convert to fraction form
    163,064/353,268 = 353,268/x
  3. Step 3: Cross multiply
    163,064x = 353,268 × 353,268
  4. Step 4: Simplify right side
    163,064x = 124,798,279,824
  5. Step 5: Solve for x
    x = 124,798,279,824/163,064
  6. Step 6: Final answer
    x = 765,333.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.