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Finding the Third Proportional to 185,364 and 283,239

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Solution

The third proportional to 185,364 and 283,239 is: 432,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,364 : 283,239 = 283,239 : x
  2. Step 2: Convert to fraction form
    185,364/283,239 = 283,239/x
  3. Step 3: Cross multiply
    185,364x = 283,239 × 283,239
  4. Step 4: Simplify right side
    185,364x = 80,224,331,121
  5. Step 5: Solve for x
    x = 80,224,331,121/185,364
  6. Step 6: Final answer
    x = 432,793.48

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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.