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Finding the Third Proportional to 195,963.75 and 429,279.75

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Solution

The third proportional to 195,963.75 and 429,279.75 is: 940,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,963.75 : 429,279.75 = 429,279.75 : x
  2. Step 2: Convert to fraction form
    195,963.75/429,279.75 = 429,279.75/x
  3. Step 3: Cross multiply
    195,963.75x = 429,279.75 × 429,279.75
  4. Step 4: Simplify right side
    195,963.75x = 184,281,103,760.06
  5. Step 5: Solve for x
    x = 184,281,103,760.06/195,963.75
  6. Step 6: Final answer
    x = 940,383.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.