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Finding the Third Proportional to 175,677 and 380,856

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Solution

The third proportional to 175,677 and 380,856 is: 825,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,677 : 380,856 = 380,856 : x
  2. Step 2: Convert to fraction form
    175,677/380,856 = 380,856/x
  3. Step 3: Cross multiply
    175,677x = 380,856 × 380,856
  4. Step 4: Simplify right side
    175,677x = 145,051,292,736
  5. Step 5: Solve for x
    x = 145,051,292,736/175,677
  6. Step 6: Final answer
    x = 825,670.37

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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.