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Finding the Third Proportional to 162,138 and 259,014

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Solution

The third proportional to 162,138 and 259,014 is: 413,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,138 : 259,014 = 259,014 : x
  2. Step 2: Convert to fraction form
    162,138/259,014 = 259,014/x
  3. Step 3: Cross multiply
    162,138x = 259,014 × 259,014
  4. Step 4: Simplify right side
    162,138x = 67,088,252,196
  5. Step 5: Solve for x
    x = 67,088,252,196/162,138
  6. Step 6: Final answer
    x = 413,772.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.