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Finding the Third Proportional to 175,069 and 274,343

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Solution

The third proportional to 175,069 and 274,343 is: 429,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,069 : 274,343 = 274,343 : x
  2. Step 2: Convert to fraction form
    175,069/274,343 = 274,343/x
  3. Step 3: Cross multiply
    175,069x = 274,343 × 274,343
  4. Step 4: Simplify right side
    175,069x = 75,264,081,649
  5. Step 5: Solve for x
    x = 75,264,081,649/175,069
  6. Step 6: Final answer
    x = 429,910.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.