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Finding the Third Proportional to 166,075.50 and 234,028.50

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Solution

The third proportional to 166,075.50 and 234,028.50 is: 329,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,075.50 : 234,028.50 = 234,028.50 : x
  2. Step 2: Convert to fraction form
    166,075.50/234,028.50 = 234,028.50/x
  3. Step 3: Cross multiply
    166,075.50x = 234,028.50 × 234,028.50
  4. Step 4: Simplify right side
    166,075.50x = 54,769,338,812.25
  5. Step 5: Solve for x
    x = 54,769,338,812.25/166,075.50
  6. Step 6: Final answer
    x = 329,785.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.