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Finding the Third Proportional to 166,678 and 366,709

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Solution

The third proportional to 166,678 and 366,709 is: 806,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,678 : 366,709 = 366,709 : x
  2. Step 2: Convert to fraction form
    166,678/366,709 = 366,709/x
  3. Step 3: Cross multiply
    166,678x = 366,709 × 366,709
  4. Step 4: Simplify right side
    166,678x = 134,475,490,681
  5. Step 5: Solve for x
    x = 134,475,490,681/166,678
  6. Step 6: Final answer
    x = 806,798.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.