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Finding the Third Proportional to 199,617 and 273,505.50

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Solution

The third proportional to 199,617 and 273,505.50 is: 374,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,617 : 273,505.50 = 273,505.50 : x
  2. Step 2: Convert to fraction form
    199,617/273,505.50 = 273,505.50/x
  3. Step 3: Cross multiply
    199,617x = 273,505.50 × 273,505.50
  4. Step 4: Simplify right side
    199,617x = 74,805,258,530.25
  5. Step 5: Solve for x
    x = 74,805,258,530.25/199,617
  6. Step 6: Final answer
    x = 374,743.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.