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Finding the Third Proportional to 203,588 and 307,614

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Solution

The third proportional to 203,588 and 307,614 is: 464,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,588 : 307,614 = 307,614 : x
  2. Step 2: Convert to fraction form
    203,588/307,614 = 307,614/x
  3. Step 3: Cross multiply
    203,588x = 307,614 × 307,614
  4. Step 4: Simplify right side
    203,588x = 94,626,372,996
  5. Step 5: Solve for x
    x = 94,626,372,996/203,588
  6. Step 6: Final answer
    x = 464,793.47

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