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Finding the Third Proportional to 123,840.38 and 196,809.75

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Solution

The third proportional to 123,840.38 and 196,809.75 is: 312,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,840.38 : 196,809.75 = 196,809.75 : x
  2. Step 2: Convert to fraction form
    123,840.38/196,809.75 = 196,809.75/x
  3. Step 3: Cross multiply
    123,840.38x = 196,809.75 × 196,809.75
  4. Step 4: Simplify right side
    123,840.38x = 38,734,077,695.06
  5. Step 5: Solve for x
    x = 38,734,077,695.06/123,840.38
  6. Step 6: Final answer
    x = 312,774.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.