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Finding the Third Proportional to 145,812 and 317,976

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Solution

The third proportional to 145,812 and 317,976 is: 693,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,812 : 317,976 = 317,976 : x
  2. Step 2: Convert to fraction form
    145,812/317,976 = 317,976/x
  3. Step 3: Cross multiply
    145,812x = 317,976 × 317,976
  4. Step 4: Simplify right side
    145,812x = 101,108,736,576
  5. Step 5: Solve for x
    x = 101,108,736,576/145,812
  6. Step 6: Final answer
    x = 693,418.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.