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Finding the Third Proportional to 234,422 and 350,088

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Solution

The third proportional to 234,422 and 350,088 is: 522,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,422 : 350,088 = 350,088 : x
  2. Step 2: Convert to fraction form
    234,422/350,088 = 350,088/x
  3. Step 3: Cross multiply
    234,422x = 350,088 × 350,088
  4. Step 4: Simplify right side
    234,422x = 122,561,607,744
  5. Step 5: Solve for x
    x = 122,561,607,744/234,422
  6. Step 6: Final answer
    x = 522,824.68

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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.