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Finding the Third Proportional to 104,972 and 227,440

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Solution

The third proportional to 104,972 and 227,440 is: 492,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,972 : 227,440 = 227,440 : x
  2. Step 2: Convert to fraction form
    104,972/227,440 = 227,440/x
  3. Step 3: Cross multiply
    104,972x = 227,440 × 227,440
  4. Step 4: Simplify right side
    104,972x = 51,728,953,600
  5. Step 5: Solve for x
    x = 51,728,953,600/104,972
  6. Step 6: Final answer
    x = 492,788.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.