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Finding the Third Proportional to 140,907 and 302,307

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Solution

The third proportional to 140,907 and 302,307 is: 648,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,907 : 302,307 = 302,307 : x
  2. Step 2: Convert to fraction form
    140,907/302,307 = 302,307/x
  3. Step 3: Cross multiply
    140,907x = 302,307 × 302,307
  4. Step 4: Simplify right side
    140,907x = 91,389,522,249
  5. Step 5: Solve for x
    x = 91,389,522,249/140,907
  6. Step 6: Final answer
    x = 648,580.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.