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Finding the Third Proportional to 201,991 and 307,369

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Solution

The third proportional to 201,991 and 307,369 is: 467,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,991 : 307,369 = 307,369 : x
  2. Step 2: Convert to fraction form
    201,991/307,369 = 307,369/x
  3. Step 3: Cross multiply
    201,991x = 307,369 × 307,369
  4. Step 4: Simplify right side
    201,991x = 94,475,702,161
  5. Step 5: Solve for x
    x = 94,475,702,161/201,991
  6. Step 6: Final answer
    x = 467,722.33

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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.