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Finding the Third Proportional to 114,586.31 and 252,014.63

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Solution

The third proportional to 114,586.31 and 252,014.63 is: 554,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,586.31 : 252,014.63 = 252,014.63 : x
  2. Step 2: Convert to fraction form
    114,586.31/252,014.63 = 252,014.63/x
  3. Step 3: Cross multiply
    114,586.31x = 252,014.63 × 252,014.63
  4. Step 4: Simplify right side
    114,586.31x = 63,511,371,213.89
  5. Step 5: Solve for x
    x = 63,511,371,213.89/114,586.31
  6. Step 6: Final answer
    x = 554,266.65

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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.