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Finding the Third Proportional to 220,102 and 350,123

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Solution

The third proportional to 220,102 and 350,123 is: 556,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,102 : 350,123 = 350,123 : x
  2. Step 2: Convert to fraction form
    220,102/350,123 = 350,123/x
  3. Step 3: Cross multiply
    220,102x = 350,123 × 350,123
  4. Step 4: Simplify right side
    220,102x = 122,586,115,129
  5. Step 5: Solve for x
    x = 122,586,115,129/220,102
  6. Step 6: Final answer
    x = 556,951.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.