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Finding the Third Proportional to 167,524 and 364,596

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Solution

The third proportional to 167,524 and 364,596 is: 793,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,524 : 364,596 = 364,596 : x
  2. Step 2: Convert to fraction form
    167,524/364,596 = 364,596/x
  3. Step 3: Cross multiply
    167,524x = 364,596 × 364,596
  4. Step 4: Simplify right side
    167,524x = 132,930,243,216
  5. Step 5: Solve for x
    x = 132,930,243,216/167,524
  6. Step 6: Final answer
    x = 793,499.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.