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Finding the Third Proportional to 203,378 and 307,695

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Solution

The third proportional to 203,378 and 307,695 is: 465,518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,378 : 307,695 = 307,695 : x
  2. Step 2: Convert to fraction form
    203,378/307,695 = 307,695/x
  3. Step 3: Cross multiply
    203,378x = 307,695 × 307,695
  4. Step 4: Simplify right side
    203,378x = 94,676,213,025
  5. Step 5: Solve for x
    x = 94,676,213,025/203,378
  6. Step 6: Final answer
    x = 465,518.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.