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Finding the Third Proportional to 166,602 and 238,075

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Solution

The third proportional to 166,602 and 238,075 is: 340,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,602 : 238,075 = 238,075 : x
  2. Step 2: Convert to fraction form
    166,602/238,075 = 238,075/x
  3. Step 3: Cross multiply
    166,602x = 238,075 × 238,075
  4. Step 4: Simplify right side
    166,602x = 56,679,705,625
  5. Step 5: Solve for x
    x = 56,679,705,625/166,602
  6. Step 6: Final answer
    x = 340,210.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.