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Finding the Third Proportional to 195,759.28 and 429,335.44

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Solution

The third proportional to 195,759.28 and 429,335.44 is: 941,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,759.28 : 429,335.44 = 429,335.44 : x
  2. Step 2: Convert to fraction form
    195,759.28/429,335.44 = 429,335.44/x
  3. Step 3: Cross multiply
    195,759.28x = 429,335.44 × 429,335.44
  4. Step 4: Simplify right side
    195,759.28x = 184,328,917,893.32
  5. Step 5: Solve for x
    x = 184,328,917,893.32/195,759.28
  6. Step 6: Final answer
    x = 941,610.11

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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.