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Finding the Third Proportional to 234,786 and 352,211

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Solution

The third proportional to 234,786 and 352,211 is: 528,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,786 : 352,211 = 352,211 : x
  2. Step 2: Convert to fraction form
    234,786/352,211 = 352,211/x
  3. Step 3: Cross multiply
    234,786x = 352,211 × 352,211
  4. Step 4: Simplify right side
    234,786x = 124,052,588,521
  5. Step 5: Solve for x
    x = 124,052,588,521/234,786
  6. Step 6: Final answer
    x = 528,364.50

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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.