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Finding the Third Proportional to 151,966 and 351,774

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Solution

The third proportional to 151,966 and 351,774 is: 814,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,966 : 351,774 = 351,774 : x
  2. Step 2: Convert to fraction form
    151,966/351,774 = 351,774/x
  3. Step 3: Cross multiply
    151,966x = 351,774 × 351,774
  4. Step 4: Simplify right side
    151,966x = 123,744,947,076
  5. Step 5: Solve for x
    x = 123,744,947,076/151,966
  6. Step 6: Final answer
    x = 814,293.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.