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Finding the Third Proportional to 201,546.88 and 291,351

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Solution

The third proportional to 201,546.88 and 291,351 is: 421,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,546.88 : 291,351 = 291,351 : x
  2. Step 2: Convert to fraction form
    201,546.88/291,351 = 291,351/x
  3. Step 3: Cross multiply
    201,546.88x = 291,351 × 291,351
  4. Step 4: Simplify right side
    201,546.88x = 84,885,405,201
  5. Step 5: Solve for x
    x = 84,885,405,201/201,546.88
  6. Step 6: Final answer
    x = 421,169.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.