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Finding the Third Proportional to 104,276 and 227,673.50

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Solution

The third proportional to 104,276 and 227,673.50 is: 497,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,276 : 227,673.50 = 227,673.50 : x
  2. Step 2: Convert to fraction form
    104,276/227,673.50 = 227,673.50/x
  3. Step 3: Cross multiply
    104,276x = 227,673.50 × 227,673.50
  4. Step 4: Simplify right side
    104,276x = 51,835,222,602.25
  5. Step 5: Solve for x
    x = 51,835,222,602.25/104,276
  6. Step 6: Final answer
    x = 497,096.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.