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Finding the Third Proportional to 201,125 and 320,141

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Solution

The third proportional to 201,125 and 320,141 is: 509,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,125 : 320,141 = 320,141 : x
  2. Step 2: Convert to fraction form
    201,125/320,141 = 320,141/x
  3. Step 3: Cross multiply
    201,125x = 320,141 × 320,141
  4. Step 4: Simplify right side
    201,125x = 102,490,259,881
  5. Step 5: Solve for x
    x = 102,490,259,881/201,125
  6. Step 6: Final answer
    x = 509,584.88

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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.