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Finding the Third Proportional to 283,231.69 and 432,243

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Solution

The third proportional to 283,231.69 and 432,243 is: 659,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,231.69 : 432,243 = 432,243 : x
  2. Step 2: Convert to fraction form
    283,231.69/432,243 = 432,243/x
  3. Step 3: Cross multiply
    283,231.69x = 432,243 × 432,243
  4. Step 4: Simplify right side
    283,231.69x = 186,834,011,049
  5. Step 5: Solve for x
    x = 186,834,011,049/283,231.69
  6. Step 6: Final answer
    x = 659,650.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.