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Finding the Third Proportional to 162,183 and 258,264

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Solution

The third proportional to 162,183 and 258,264 is: 411,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,183 : 258,264 = 258,264 : x
  2. Step 2: Convert to fraction form
    162,183/258,264 = 258,264/x
  3. Step 3: Cross multiply
    162,183x = 258,264 × 258,264
  4. Step 4: Simplify right side
    162,183x = 66,700,293,696
  5. Step 5: Solve for x
    x = 66,700,293,696/162,183
  6. Step 6: Final answer
    x = 411,265.63

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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.