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Finding the Third Proportional to 166,405 and 359,054

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Solution

The third proportional to 166,405 and 359,054 is: 774,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,405 : 359,054 = 359,054 : x
  2. Step 2: Convert to fraction form
    166,405/359,054 = 359,054/x
  3. Step 3: Cross multiply
    166,405x = 359,054 × 359,054
  4. Step 4: Simplify right side
    166,405x = 128,919,774,916
  5. Step 5: Solve for x
    x = 128,919,774,916/166,405
  6. Step 6: Final answer
    x = 774,734.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.