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Finding the Third Proportional to 146,890 and 317,102

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Solution

The third proportional to 146,890 and 317,102 is: 684,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,890 : 317,102 = 317,102 : x
  2. Step 2: Convert to fraction form
    146,890/317,102 = 317,102/x
  3. Step 3: Cross multiply
    146,890x = 317,102 × 317,102
  4. Step 4: Simplify right side
    146,890x = 100,553,678,404
  5. Step 5: Solve for x
    x = 100,553,678,404/146,890
  6. Step 6: Final answer
    x = 684,550.88

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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.