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Finding the Third Proportional to 162,185 and 258,267

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Solution

The third proportional to 162,185 and 258,267 is: 411,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,185 : 258,267 = 258,267 : x
  2. Step 2: Convert to fraction form
    162,185/258,267 = 258,267/x
  3. Step 3: Cross multiply
    162,185x = 258,267 × 258,267
  4. Step 4: Simplify right side
    162,185x = 66,701,843,289
  5. Step 5: Solve for x
    x = 66,701,843,289/162,185
  6. Step 6: Final answer
    x = 411,270.11

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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.