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Finding the Third Proportional to 235,396 and 302,242

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Solution

The third proportional to 235,396 and 302,242 is: 388,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,396 : 302,242 = 302,242 : x
  2. Step 2: Convert to fraction form
    235,396/302,242 = 302,242/x
  3. Step 3: Cross multiply
    235,396x = 302,242 × 302,242
  4. Step 4: Simplify right side
    235,396x = 91,350,226,564
  5. Step 5: Solve for x
    x = 91,350,226,564/235,396
  6. Step 6: Final answer
    x = 388,070.43

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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.