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Finding the Third Proportional to 119,237.25 and 252,690

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Solution

The third proportional to 119,237.25 and 252,690 is: 535,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,237.25 : 252,690 = 252,690 : x
  2. Step 2: Convert to fraction form
    119,237.25/252,690 = 252,690/x
  3. Step 3: Cross multiply
    119,237.25x = 252,690 × 252,690
  4. Step 4: Simplify right side
    119,237.25x = 63,852,236,100
  5. Step 5: Solve for x
    x = 63,852,236,100/119,237.25
  6. Step 6: Final answer
    x = 535,505.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.