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Finding the Third Proportional to 103,010 and 225,700

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Solution

The third proportional to 103,010 and 225,700 is: 494,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,010 : 225,700 = 225,700 : x
  2. Step 2: Convert to fraction form
    103,010/225,700 = 225,700/x
  3. Step 3: Cross multiply
    103,010x = 225,700 × 225,700
  4. Step 4: Simplify right side
    103,010x = 50,940,490,000
  5. Step 5: Solve for x
    x = 50,940,490,000/103,010
  6. Step 6: Final answer
    x = 494,519.85

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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.