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Finding the Third Proportional to 146,894 and 317,110

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Solution

The third proportional to 146,894 and 317,110 is: 684,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,894 : 317,110 = 317,110 : x
  2. Step 2: Convert to fraction form
    146,894/317,110 = 317,110/x
  3. Step 3: Cross multiply
    146,894x = 317,110 × 317,110
  4. Step 4: Simplify right side
    146,894x = 100,558,752,100
  5. Step 5: Solve for x
    x = 100,558,752,100/146,894
  6. Step 6: Final answer
    x = 684,566.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.