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Finding the Third Proportional to 151,684.50 and 327,021.75

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Solution

The third proportional to 151,684.50 and 327,021.75 is: 705,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,684.50 : 327,021.75 = 327,021.75 : x
  2. Step 2: Convert to fraction form
    151,684.50/327,021.75 = 327,021.75/x
  3. Step 3: Cross multiply
    151,684.50x = 327,021.75 × 327,021.75
  4. Step 4: Simplify right side
    151,684.50x = 106,943,224,973.06
  5. Step 5: Solve for x
    x = 106,943,224,973.06/151,684.50
  6. Step 6: Final answer
    x = 705,037.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.