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Finding the Third Proportional to 102,264 and 228,336

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Solution

The third proportional to 102,264 and 228,336 is: 509,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,264 : 228,336 = 228,336 : x
  2. Step 2: Convert to fraction form
    102,264/228,336 = 228,336/x
  3. Step 3: Cross multiply
    102,264x = 228,336 × 228,336
  4. Step 4: Simplify right side
    102,264x = 52,137,328,896
  5. Step 5: Solve for x
    x = 52,137,328,896/102,264
  6. Step 6: Final answer
    x = 509,830.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.