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Finding the Third Proportional to 235,416 and 302,268

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Solution

The third proportional to 235,416 and 302,268 is: 388,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,416 : 302,268 = 302,268 : x
  2. Step 2: Convert to fraction form
    235,416/302,268 = 302,268/x
  3. Step 3: Cross multiply
    235,416x = 302,268 × 302,268
  4. Step 4: Simplify right side
    235,416x = 91,365,943,824
  5. Step 5: Solve for x
    x = 91,365,943,824/235,416
  6. Step 6: Final answer
    x = 388,104.22

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.