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Finding the Third Proportional to 162,985 and 259,328

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Solution

The third proportional to 162,985 and 259,328 is: 412,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,985 : 259,328 = 259,328 : x
  2. Step 2: Convert to fraction form
    162,985/259,328 = 259,328/x
  3. Step 3: Cross multiply
    162,985x = 259,328 × 259,328
  4. Step 4: Simplify right side
    162,985x = 67,251,011,584
  5. Step 5: Solve for x
    x = 67,251,011,584/162,985
  6. Step 6: Final answer
    x = 412,620.86

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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.