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Finding the Third Proportional to 103,410 and 226,188

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Solution

The third proportional to 103,410 and 226,188 is: 494,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,410 : 226,188 = 226,188 : x
  2. Step 2: Convert to fraction form
    103,410/226,188 = 226,188/x
  3. Step 3: Cross multiply
    103,410x = 226,188 × 226,188
  4. Step 4: Simplify right side
    103,410x = 51,161,011,344
  5. Step 5: Solve for x
    x = 51,161,011,344/103,410
  6. Step 6: Final answer
    x = 494,739.50

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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.