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Finding the Third Proportional to 166,277.81 and 344,376.56

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Solution

The third proportional to 166,277.81 and 344,376.56 is: 713,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,277.81 : 344,376.56 = 344,376.56 : x
  2. Step 2: Convert to fraction form
    166,277.81/344,376.56 = 344,376.56/x
  3. Step 3: Cross multiply
    166,277.81x = 344,376.56 × 344,376.56
  4. Step 4: Simplify right side
    166,277.81x = 118,595,216,799.32
  5. Step 5: Solve for x
    x = 118,595,216,799.32/166,277.81
  6. Step 6: Final answer
    x = 713,235.37

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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.