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Finding the Third Proportional to 234,206.44 and 350,669.25

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Solution

The third proportional to 234,206.44 and 350,669.25 is: 525,045.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,206.44 : 350,669.25 = 350,669.25 : x
  2. Step 2: Convert to fraction form
    234,206.44/350,669.25 = 350,669.25/x
  3. Step 3: Cross multiply
    234,206.44x = 350,669.25 × 350,669.25
  4. Step 4: Simplify right side
    234,206.44x = 122,968,922,895.56
  5. Step 5: Solve for x
    x = 122,968,922,895.56/234,206.44
  6. Step 6: Final answer
    x = 525,045.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.