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Finding the Third Proportional to 236,731.50 and 332,982

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Solution

The third proportional to 236,731.50 and 332,982 is: 468,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,731.50 : 332,982 = 332,982 : x
  2. Step 2: Convert to fraction form
    236,731.50/332,982 = 332,982/x
  3. Step 3: Cross multiply
    236,731.50x = 332,982 × 332,982
  4. Step 4: Simplify right side
    236,731.50x = 110,877,012,324
  5. Step 5: Solve for x
    x = 110,877,012,324/236,731.50
  6. Step 6: Final answer
    x = 468,366.11

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