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Finding the Third Proportional to 104,276 and 228,154

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Solution

The third proportional to 104,276 and 228,154 is: 499,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,276 : 228,154 = 228,154 : x
  2. Step 2: Convert to fraction form
    104,276/228,154 = 228,154/x
  3. Step 3: Cross multiply
    104,276x = 228,154 × 228,154
  4. Step 4: Simplify right side
    104,276x = 52,054,247,716
  5. Step 5: Solve for x
    x = 52,054,247,716/104,276
  6. Step 6: Final answer
    x = 499,196.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.