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Finding the Third Proportional to 166,071.75 and 234,024

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Solution

The third proportional to 166,071.75 and 234,024 is: 329,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,071.75 : 234,024 = 234,024 : x
  2. Step 2: Convert to fraction form
    166,071.75/234,024 = 234,024/x
  3. Step 3: Cross multiply
    166,071.75x = 234,024 × 234,024
  4. Step 4: Simplify right side
    166,071.75x = 54,767,232,576
  5. Step 5: Solve for x
    x = 54,767,232,576/166,071.75
  6. Step 6: Final answer
    x = 329,780.55

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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.