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Finding the Third Proportional to 234,562.50 and 511,225.13

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Solution

The third proportional to 234,562.50 and 511,225.13 is: 1,114,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,562.50 : 511,225.13 = 511,225.13 : x
  2. Step 2: Convert to fraction form
    234,562.50/511,225.13 = 511,225.13/x
  3. Step 3: Cross multiply
    234,562.50x = 511,225.13 × 511,225.13
  4. Step 4: Simplify right side
    234,562.50x = 261,351,128,431.27
  5. Step 5: Solve for x
    x = 261,351,128,431.27/234,562.50
  6. Step 6: Final answer
    x = 1,114,206.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.