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Finding the Third Proportional to 162,184 and 258,266

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Solution

The third proportional to 162,184 and 258,266 is: 411,269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,184 : 258,266 = 258,266 : x
  2. Step 2: Convert to fraction form
    162,184/258,266 = 258,266/x
  3. Step 3: Cross multiply
    162,184x = 258,266 × 258,266
  4. Step 4: Simplify right side
    162,184x = 66,701,326,756
  5. Step 5: Solve for x
    x = 66,701,326,756/162,184
  6. Step 6: Final answer
    x = 411,269.46

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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.