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Finding the Third Proportional to 201,406 and 307,941

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Solution

The third proportional to 201,406 and 307,941 is: 470,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,406 : 307,941 = 307,941 : x
  2. Step 2: Convert to fraction form
    201,406/307,941 = 307,941/x
  3. Step 3: Cross multiply
    201,406x = 307,941 × 307,941
  4. Step 4: Simplify right side
    201,406x = 94,827,659,481
  5. Step 5: Solve for x
    x = 94,827,659,481/201,406
  6. Step 6: Final answer
    x = 470,828.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.