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Finding the Third Proportional to 166,075.31 and 387,919.13

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Solution

The third proportional to 166,075.31 and 387,919.13 is: 906,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,075.31 : 387,919.13 = 387,919.13 : x
  2. Step 2: Convert to fraction form
    166,075.31/387,919.13 = 387,919.13/x
  3. Step 3: Cross multiply
    166,075.31x = 387,919.13 × 387,919.13
  4. Step 4: Simplify right side
    166,075.31x = 150,481,247,540.77
  5. Step 5: Solve for x
    x = 150,481,247,540.77/166,075.31
  6. Step 6: Final answer
    x = 906,102.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.