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Finding the Third Proportional to 146,194 and 313,124

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Solution

The third proportional to 146,194 and 313,124 is: 670,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,194 : 313,124 = 313,124 : x
  2. Step 2: Convert to fraction form
    146,194/313,124 = 313,124/x
  3. Step 3: Cross multiply
    146,194x = 313,124 × 313,124
  4. Step 4: Simplify right side
    146,194x = 98,046,639,376
  5. Step 5: Solve for x
    x = 98,046,639,376/146,194
  6. Step 6: Final answer
    x = 670,661.17

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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.