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Finding the Third Proportional to 166,056.75 and 343,927.69

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Solution

The third proportional to 166,056.75 and 343,927.69 is: 712,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,056.75 : 343,927.69 = 343,927.69 : x
  2. Step 2: Convert to fraction form
    166,056.75/343,927.69 = 343,927.69/x
  3. Step 3: Cross multiply
    166,056.75x = 343,927.69 × 343,927.69
  4. Step 4: Simplify right side
    166,056.75x = 118,286,254,229.10
  5. Step 5: Solve for x
    x = 118,286,254,229.10/166,056.75
  6. Step 6: Final answer
    x = 712,324.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.