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Finding the Third Proportional to 167,526 and 364,600

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Solution

The third proportional to 167,526 and 364,600 is: 793,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,526 : 364,600 = 364,600 : x
  2. Step 2: Convert to fraction form
    167,526/364,600 = 364,600/x
  3. Step 3: Cross multiply
    167,526x = 364,600 × 364,600
  4. Step 4: Simplify right side
    167,526x = 132,933,160,000
  5. Step 5: Solve for x
    x = 132,933,160,000/167,526
  6. Step 6: Final answer
    x = 793,507.63

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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.