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Finding the Third Proportional to 146,192 and 313,120

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Solution

The third proportional to 146,192 and 313,120 is: 670,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,192 : 313,120 = 313,120 : x
  2. Step 2: Convert to fraction form
    146,192/313,120 = 313,120/x
  3. Step 3: Cross multiply
    146,192x = 313,120 × 313,120
  4. Step 4: Simplify right side
    146,192x = 98,044,134,400
  5. Step 5: Solve for x
    x = 98,044,134,400/146,192
  6. Step 6: Final answer
    x = 670,653.21

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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.