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Finding the Third Proportional to 234,922 and 357,891

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Solution

The third proportional to 234,922 and 357,891 is: 545,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,922 : 357,891 = 357,891 : x
  2. Step 2: Convert to fraction form
    234,922/357,891 = 357,891/x
  3. Step 3: Cross multiply
    234,922x = 357,891 × 357,891
  4. Step 4: Simplify right side
    234,922x = 128,085,967,881
  5. Step 5: Solve for x
    x = 128,085,967,881/234,922
  6. Step 6: Final answer
    x = 545,227.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.