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Finding the Third Proportional to 166,844 and 393,685.50

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Solution

The third proportional to 166,844 and 393,685.50 is: 928,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,844 : 393,685.50 = 393,685.50 : x
  2. Step 2: Convert to fraction form
    166,844/393,685.50 = 393,685.50/x
  3. Step 3: Cross multiply
    166,844x = 393,685.50 × 393,685.50
  4. Step 4: Simplify right side
    166,844x = 154,988,272,910.25
  5. Step 5: Solve for x
    x = 154,988,272,910.25/166,844
  6. Step 6: Final answer
    x = 928,941.24

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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.