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Finding the Third Proportional to 234,210 and 350,676

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Solution

The third proportional to 234,210 and 350,676 is: 525,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,210 : 350,676 = 350,676 : x
  2. Step 2: Convert to fraction form
    234,210/350,676 = 350,676/x
  3. Step 3: Cross multiply
    234,210x = 350,676 × 350,676
  4. Step 4: Simplify right side
    234,210x = 122,973,656,976
  5. Step 5: Solve for x
    x = 122,973,656,976/234,210
  6. Step 6: Final answer
    x = 525,057.24

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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.