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Finding the Third Proportional to 166,144 and 354,038

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Solution

The third proportional to 166,144 and 354,038 is: 754,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,144 : 354,038 = 354,038 : x
  2. Step 2: Convert to fraction form
    166,144/354,038 = 354,038/x
  3. Step 3: Cross multiply
    166,144x = 354,038 × 354,038
  4. Step 4: Simplify right side
    166,144x = 125,342,905,444
  5. Step 5: Solve for x
    x = 125,342,905,444/166,144
  6. Step 6: Final answer
    x = 754,423.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.