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Finding the Third Proportional to 167,503 and 364,531

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Solution

The third proportional to 167,503 and 364,531 is: 793,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,503 : 364,531 = 364,531 : x
  2. Step 2: Convert to fraction form
    167,503/364,531 = 364,531/x
  3. Step 3: Cross multiply
    167,503x = 364,531 × 364,531
  4. Step 4: Simplify right side
    167,503x = 132,882,849,961
  5. Step 5: Solve for x
    x = 132,882,849,961/167,503
  6. Step 6: Final answer
    x = 793,316.24

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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.