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Finding the Third Proportional to 162,844 and 259,044

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Solution

The third proportional to 162,844 and 259,044 is: 412,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,844 : 259,044 = 259,044 : x
  2. Step 2: Convert to fraction form
    162,844/259,044 = 259,044/x
  3. Step 3: Cross multiply
    162,844x = 259,044 × 259,044
  4. Step 4: Simplify right side
    162,844x = 67,103,793,936
  5. Step 5: Solve for x
    x = 67,103,793,936/162,844
  6. Step 6: Final answer
    x = 412,074.10

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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.