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Finding the Third Proportional to 220,302 and 350,137

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Solution

The third proportional to 220,302 and 350,137 is: 556,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,302 : 350,137 = 350,137 : x
  2. Step 2: Convert to fraction form
    220,302/350,137 = 350,137/x
  3. Step 3: Cross multiply
    220,302x = 350,137 × 350,137
  4. Step 4: Simplify right side
    220,302x = 122,595,918,769
  5. Step 5: Solve for x
    x = 122,595,918,769/220,302
  6. Step 6: Final answer
    x = 556,490.27

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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.