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Finding the Third Proportional to 235,424 and 302,272

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Solution

The third proportional to 235,424 and 302,272 is: 388,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,424 : 302,272 = 302,272 : x
  2. Step 2: Convert to fraction form
    235,424/302,272 = 302,272/x
  3. Step 3: Cross multiply
    235,424x = 302,272 × 302,272
  4. Step 4: Simplify right side
    235,424x = 91,368,361,984
  5. Step 5: Solve for x
    x = 91,368,361,984/235,424
  6. Step 6: Final answer
    x = 388,101.31

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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.