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Finding the Third Proportional to 133,196 and 285,344

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Solution

The third proportional to 133,196 and 285,344 is: 611,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,196 : 285,344 = 285,344 : x
  2. Step 2: Convert to fraction form
    133,196/285,344 = 285,344/x
  3. Step 3: Cross multiply
    133,196x = 285,344 × 285,344
  4. Step 4: Simplify right side
    133,196x = 81,421,198,336
  5. Step 5: Solve for x
    x = 81,421,198,336/133,196
  6. Step 6: Final answer
    x = 611,288.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.