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Finding the Third Proportional to 166,334.50 and 392,994

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Solution

The third proportional to 166,334.50 and 392,994 is: 928,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,334.50 : 392,994 = 392,994 : x
  2. Step 2: Convert to fraction form
    166,334.50/392,994 = 392,994/x
  3. Step 3: Cross multiply
    166,334.50x = 392,994 × 392,994
  4. Step 4: Simplify right side
    166,334.50x = 154,444,284,036
  5. Step 5: Solve for x
    x = 154,444,284,036/166,334.50
  6. Step 6: Final answer
    x = 928,516.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.