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Finding the Third Proportional to 232,202.16 and 326,994.94

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Solution

The third proportional to 232,202.16 and 326,994.94 is: 460,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,202.16 : 326,994.94 = 326,994.94 : x
  2. Step 2: Convert to fraction form
    232,202.16/326,994.94 = 326,994.94/x
  3. Step 3: Cross multiply
    232,202.16x = 326,994.94 × 326,994.94
  4. Step 4: Simplify right side
    232,202.16x = 106,925,692,982.60
  5. Step 5: Solve for x
    x = 106,925,692,982.60/232,202.16
  6. Step 6: Final answer
    x = 460,485.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.