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Finding the Third Proportional to 195,986.25 and 429,338.81

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Solution

The third proportional to 195,986.25 and 429,338.81 is: 940,534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,986.25 : 429,338.81 = 429,338.81 : x
  2. Step 2: Convert to fraction form
    195,986.25/429,338.81 = 429,338.81/x
  3. Step 3: Cross multiply
    195,986.25x = 429,338.81 × 429,338.81
  4. Step 4: Simplify right side
    195,986.25x = 184,331,815,918.91
  5. Step 5: Solve for x
    x = 184,331,815,918.91/195,986.25
  6. Step 6: Final answer
    x = 940,534.43

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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.