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Finding the Third Proportional to 201,119 and 320,132

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Solution

The third proportional to 201,119 and 320,132 is: 509,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,119 : 320,132 = 320,132 : x
  2. Step 2: Convert to fraction form
    201,119/320,132 = 320,132/x
  3. Step 3: Cross multiply
    201,119x = 320,132 × 320,132
  4. Step 4: Simplify right side
    201,119x = 102,484,497,424
  5. Step 5: Solve for x
    x = 102,484,497,424/201,119
  6. Step 6: Final answer
    x = 509,571.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.