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Finding the Third Proportional to 106,566 and 228,684

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Solution

The third proportional to 106,566 and 228,684 is: 490,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,566 : 228,684 = 228,684 : x
  2. Step 2: Convert to fraction form
    106,566/228,684 = 228,684/x
  3. Step 3: Cross multiply
    106,566x = 228,684 × 228,684
  4. Step 4: Simplify right side
    106,566x = 52,296,371,856
  5. Step 5: Solve for x
    x = 52,296,371,856/106,566
  6. Step 6: Final answer
    x = 490,741.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.