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Finding the Third Proportional to 166,939.31 and 393,681.94

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Solution

The third proportional to 166,939.31 and 393,681.94 is: 928,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,939.31 : 393,681.94 = 393,681.94 : x
  2. Step 2: Convert to fraction form
    166,939.31/393,681.94 = 393,681.94/x
  3. Step 3: Cross multiply
    166,939.31x = 393,681.94 × 393,681.94
  4. Step 4: Simplify right side
    166,939.31x = 154,985,467,913.75
  5. Step 5: Solve for x
    x = 154,985,467,913.75/166,939.31
  6. Step 6: Final answer
    x = 928,394.07

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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.