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Finding the Third Proportional to 167,780 and 364,180

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Solution

The third proportional to 167,780 and 364,180 is: 790,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,780 : 364,180 = 364,180 : x
  2. Step 2: Convert to fraction form
    167,780/364,180 = 364,180/x
  3. Step 3: Cross multiply
    167,780x = 364,180 × 364,180
  4. Step 4: Simplify right side
    167,780x = 132,627,072,400
  5. Step 5: Solve for x
    x = 132,627,072,400/167,780
  6. Step 6: Final answer
    x = 790,482.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.