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Finding the Third Proportional to 167,069 and 350,541

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Solution

The third proportional to 167,069 and 350,541 is: 735,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,069 : 350,541 = 350,541 : x
  2. Step 2: Convert to fraction form
    167,069/350,541 = 350,541/x
  3. Step 3: Cross multiply
    167,069x = 350,541 × 350,541
  4. Step 4: Simplify right side
    167,069x = 122,878,992,681
  5. Step 5: Solve for x
    x = 122,878,992,681/167,069
  6. Step 6: Final answer
    x = 735,498.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.