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Finding the Third Proportional to 201,980 and 307,166

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Solution

The third proportional to 201,980 and 307,166 is: 467,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,980 : 307,166 = 307,166 : x
  2. Step 2: Convert to fraction form
    201,980/307,166 = 307,166/x
  3. Step 3: Cross multiply
    201,980x = 307,166 × 307,166
  4. Step 4: Simplify right side
    201,980x = 94,350,951,556
  5. Step 5: Solve for x
    x = 94,350,951,556/201,980
  6. Step 6: Final answer
    x = 467,130.17

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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.