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Finding the Third Proportional to 232,822.50 and 511,368

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Solution

The third proportional to 232,822.50 and 511,368 is: 1,123,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,822.50 : 511,368 = 511,368 : x
  2. Step 2: Convert to fraction form
    232,822.50/511,368 = 511,368/x
  3. Step 3: Cross multiply
    232,822.50x = 511,368 × 511,368
  4. Step 4: Simplify right side
    232,822.50x = 261,497,231,424
  5. Step 5: Solve for x
    x = 261,497,231,424/232,822.50
  6. Step 6: Final answer
    x = 1,123,161.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.