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Finding the Third Proportional to 103,600 and 228,982

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Solution

The third proportional to 103,600 and 228,982 is: 506,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,600 : 228,982 = 228,982 : x
  2. Step 2: Convert to fraction form
    103,600/228,982 = 228,982/x
  3. Step 3: Cross multiply
    103,600x = 228,982 × 228,982
  4. Step 4: Simplify right side
    103,600x = 52,432,756,324
  5. Step 5: Solve for x
    x = 52,432,756,324/103,600
  6. Step 6: Final answer
    x = 506,107.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.