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Finding the Third Proportional to 195,955.75 and 286,372.38

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Solution

The third proportional to 195,955.75 and 286,372.38 is: 418,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,955.75 : 286,372.38 = 286,372.38 : x
  2. Step 2: Convert to fraction form
    195,955.75/286,372.38 = 286,372.38/x
  3. Step 3: Cross multiply
    195,955.75x = 286,372.38 × 286,372.38
  4. Step 4: Simplify right side
    195,955.75x = 82,009,137,163.14
  5. Step 5: Solve for x
    x = 82,009,137,163.14/195,955.75
  6. Step 6: Final answer
    x = 418,508.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.