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Finding the Third Proportional to 162,834 and 259,029

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Solution

The third proportional to 162,834 and 259,029 is: 412,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,834 : 259,029 = 259,029 : x
  2. Step 2: Convert to fraction form
    162,834/259,029 = 259,029/x
  3. Step 3: Cross multiply
    162,834x = 259,029 × 259,029
  4. Step 4: Simplify right side
    162,834x = 67,096,022,841
  5. Step 5: Solve for x
    x = 67,096,022,841/162,834
  6. Step 6: Final answer
    x = 412,051.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.