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Finding the Third Proportional to 189,685.13 and 285,780.38

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Solution

The third proportional to 189,685.13 and 285,780.38 is: 430,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,685.13 : 285,780.38 = 285,780.38 : x
  2. Step 2: Convert to fraction form
    189,685.13/285,780.38 = 285,780.38/x
  3. Step 3: Cross multiply
    189,685.13x = 285,780.38 × 285,780.38
  4. Step 4: Simplify right side
    189,685.13x = 81,670,422,735.14
  5. Step 5: Solve for x
    x = 81,670,422,735.14/189,685.13
  6. Step 6: Final answer
    x = 430,557.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.