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Finding the Third Proportional to 201,998 and 307,191

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Solution

The third proportional to 201,998 and 307,191 is: 467,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,998 : 307,191 = 307,191 : x
  2. Step 2: Convert to fraction form
    201,998/307,191 = 307,191/x
  3. Step 3: Cross multiply
    201,998x = 307,191 × 307,191
  4. Step 4: Simplify right side
    201,998x = 94,366,310,481
  5. Step 5: Solve for x
    x = 94,366,310,481/201,998
  6. Step 6: Final answer
    x = 467,164.58

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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.