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Finding the Third Proportional to 234,419 and 350,085

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Solution

The third proportional to 234,419 and 350,085 is: 522,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,419 : 350,085 = 350,085 : x
  2. Step 2: Convert to fraction form
    234,419/350,085 = 350,085/x
  3. Step 3: Cross multiply
    234,419x = 350,085 × 350,085
  4. Step 4: Simplify right side
    234,419x = 122,559,507,225
  5. Step 5: Solve for x
    x = 122,559,507,225/234,419
  6. Step 6: Final answer
    x = 522,822.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.