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Finding the Third Proportional to 350,082 and 386,172

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Solution

The third proportional to 350,082 and 386,172 is: 425,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,082 : 386,172 = 386,172 : x
  2. Step 2: Convert to fraction form
    350,082/386,172 = 386,172/x
  3. Step 3: Cross multiply
    350,082x = 386,172 × 386,172
  4. Step 4: Simplify right side
    350,082x = 149,128,813,584
  5. Step 5: Solve for x
    x = 149,128,813,584/350,082
  6. Step 6: Final answer
    x = 425,982.52

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.