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Finding the Third Proportional to 166,080 and 261,024

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Solution

The third proportional to 166,080 and 261,024 is: 410,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,080 : 261,024 = 261,024 : x
  2. Step 2: Convert to fraction form
    166,080/261,024 = 261,024/x
  3. Step 3: Cross multiply
    166,080x = 261,024 × 261,024
  4. Step 4: Simplify right side
    166,080x = 68,133,528,576
  5. Step 5: Solve for x
    x = 68,133,528,576/166,080
  6. Step 6: Final answer
    x = 410,245.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.