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Finding the Third Proportional to 166,075.31 and 398,580.75

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Solution

The third proportional to 166,075.31 and 398,580.75 is: 956,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,075.31 : 398,580.75 = 398,580.75 : x
  2. Step 2: Convert to fraction form
    166,075.31/398,580.75 = 398,580.75/x
  3. Step 3: Cross multiply
    166,075.31x = 398,580.75 × 398,580.75
  4. Step 4: Simplify right side
    166,075.31x = 158,866,614,270.56
  5. Step 5: Solve for x
    x = 158,866,614,270.56/166,075.31
  6. Step 6: Final answer
    x = 956,593.80

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.