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Finding the Third Proportional to 167,046 and 364,241

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Solution

The third proportional to 167,046 and 364,241 is: 794,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,046 : 364,241 = 364,241 : x
  2. Step 2: Convert to fraction form
    167,046/364,241 = 364,241/x
  3. Step 3: Cross multiply
    167,046x = 364,241 × 364,241
  4. Step 4: Simplify right side
    167,046x = 132,671,506,081
  5. Step 5: Solve for x
    x = 132,671,506,081/167,046
  6. Step 6: Final answer
    x = 794,221.39

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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.