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Finding the Third Proportional to 102,888 and 225,472

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Solution

The third proportional to 102,888 and 225,472 is: 494,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,888 : 225,472 = 225,472 : x
  2. Step 2: Convert to fraction form
    102,888/225,472 = 225,472/x
  3. Step 3: Cross multiply
    102,888x = 225,472 × 225,472
  4. Step 4: Simplify right side
    102,888x = 50,837,622,784
  5. Step 5: Solve for x
    x = 50,837,622,784/102,888
  6. Step 6: Final answer
    x = 494,106.43

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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.