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Finding the Third Proportional to 234,010.69 and 352,669.78

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Solution

The third proportional to 234,010.69 and 352,669.78 is: 531,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,010.69 : 352,669.78 = 352,669.78 : x
  2. Step 2: Convert to fraction form
    234,010.69/352,669.78 = 352,669.78/x
  3. Step 3: Cross multiply
    234,010.69x = 352,669.78 × 352,669.78
  4. Step 4: Simplify right side
    234,010.69x = 124,375,974,606.92
  5. Step 5: Solve for x
    x = 124,375,974,606.92/234,010.69
  6. Step 6: Final answer
    x = 531,496.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.