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Finding the Third Proportional to 133,833.75 and 297,192

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Solution

The third proportional to 133,833.75 and 297,192 is: 659,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,833.75 : 297,192 = 297,192 : x
  2. Step 2: Convert to fraction form
    133,833.75/297,192 = 297,192/x
  3. Step 3: Cross multiply
    133,833.75x = 297,192 × 297,192
  4. Step 4: Simplify right side
    133,833.75x = 88,323,084,864
  5. Step 5: Solve for x
    x = 88,323,084,864/133,833.75
  6. Step 6: Final answer
    x = 659,946.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.