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Finding the Third Proportional to 232,512 and 329,095

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Solution

The third proportional to 232,512 and 329,095 is: 465,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,512 : 329,095 = 329,095 : x
  2. Step 2: Convert to fraction form
    232,512/329,095 = 329,095/x
  3. Step 3: Cross multiply
    232,512x = 329,095 × 329,095
  4. Step 4: Simplify right side
    232,512x = 108,303,519,025
  5. Step 5: Solve for x
    x = 108,303,519,025/232,512
  6. Step 6: Final answer
    x = 465,797.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.