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Finding the Third Proportional to 193,914 and 289,686.38

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Solution

The third proportional to 193,914 and 289,686.38 is: 432,759.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,914 : 289,686.38 = 289,686.38 : x
  2. Step 2: Convert to fraction form
    193,914/289,686.38 = 289,686.38/x
  3. Step 3: Cross multiply
    193,914x = 289,686.38 × 289,686.38
  4. Step 4: Simplify right side
    193,914x = 83,918,195,860.64
  5. Step 5: Solve for x
    x = 83,918,195,860.64/193,914
  6. Step 6: Final answer
    x = 432,759.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.