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Finding the Third Proportional to 103,782 and 228,299

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Solution

The third proportional to 103,782 and 228,299 is: 502,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,782 : 228,299 = 228,299 : x
  2. Step 2: Convert to fraction form
    103,782/228,299 = 228,299/x
  3. Step 3: Cross multiply
    103,782x = 228,299 × 228,299
  4. Step 4: Simplify right side
    103,782x = 52,120,433,401
  5. Step 5: Solve for x
    x = 52,120,433,401/103,782
  6. Step 6: Final answer
    x = 502,210.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.