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Finding the Third Proportional to 201,980 and 307,167

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Solution

The third proportional to 201,980 and 307,167 is: 467,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,980 : 307,167 = 307,167 : x
  2. Step 2: Convert to fraction form
    201,980/307,167 = 307,167/x
  3. Step 3: Cross multiply
    201,980x = 307,167 × 307,167
  4. Step 4: Simplify right side
    201,980x = 94,351,565,889
  5. Step 5: Solve for x
    x = 94,351,565,889/201,980
  6. Step 6: Final answer
    x = 467,133.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.