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Finding the Third Proportional to 102,497.50 and 225,174

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Solution

The third proportional to 102,497.50 and 225,174 is: 494,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,497.50 : 225,174 = 225,174 : x
  2. Step 2: Convert to fraction form
    102,497.50/225,174 = 225,174/x
  3. Step 3: Cross multiply
    102,497.50x = 225,174 × 225,174
  4. Step 4: Simplify right side
    102,497.50x = 50,703,330,276
  5. Step 5: Solve for x
    x = 50,703,330,276/102,497.50
  6. Step 6: Final answer
    x = 494,678.70

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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.