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Finding the Third Proportional to 166,413 and 364,503

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Solution

The third proportional to 166,413 and 364,503 is: 798,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,413 : 364,503 = 364,503 : x
  2. Step 2: Convert to fraction form
    166,413/364,503 = 364,503/x
  3. Step 3: Cross multiply
    166,413x = 364,503 × 364,503
  4. Step 4: Simplify right side
    166,413x = 132,862,437,009
  5. Step 5: Solve for x
    x = 132,862,437,009/166,413
  6. Step 6: Final answer
    x = 798,389.77

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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.