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Finding the Third Proportional to 235,112 and 352,121

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Solution

The third proportional to 235,112 and 352,121 is: 527,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,112 : 352,121 = 352,121 : x
  2. Step 2: Convert to fraction form
    235,112/352,121 = 352,121/x
  3. Step 3: Cross multiply
    235,112x = 352,121 × 352,121
  4. Step 4: Simplify right side
    235,112x = 123,989,198,641
  5. Step 5: Solve for x
    x = 123,989,198,641/235,112
  6. Step 6: Final answer
    x = 527,362.27

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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.