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Finding the Third Proportional to 166,313 and 364,518

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Solution

The third proportional to 166,313 and 364,518 is: 798,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,313 : 364,518 = 364,518 : x
  2. Step 2: Convert to fraction form
    166,313/364,518 = 364,518/x
  3. Step 3: Cross multiply
    166,313x = 364,518 × 364,518
  4. Step 4: Simplify right side
    166,313x = 132,873,372,324
  5. Step 5: Solve for x
    x = 132,873,372,324/166,313
  6. Step 6: Final answer
    x = 798,935.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.