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Finding the Third Proportional to 146,868 and 317,058

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Solution

The third proportional to 146,868 and 317,058 is: 684,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,868 : 317,058 = 317,058 : x
  2. Step 2: Convert to fraction form
    146,868/317,058 = 317,058/x
  3. Step 3: Cross multiply
    146,868x = 317,058 × 317,058
  4. Step 4: Simplify right side
    146,868x = 100,525,775,364
  5. Step 5: Solve for x
    x = 100,525,775,364/146,868
  6. Step 6: Final answer
    x = 684,463.43

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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.