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Finding the Third Proportional to 166,394.25 and 357,665.63

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Solution

The third proportional to 166,394.25 and 357,665.63 is: 768,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,394.25 : 357,665.63 = 357,665.63 : x
  2. Step 2: Convert to fraction form
    166,394.25/357,665.63 = 357,665.63/x
  3. Step 3: Cross multiply
    166,394.25x = 357,665.63 × 357,665.63
  4. Step 4: Simplify right side
    166,394.25x = 127,924,699,306.64
  5. Step 5: Solve for x
    x = 127,924,699,306.64/166,394.25
  6. Step 6: Final answer
    x = 768,804.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.