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Finding the Third Proportional to 114,532.31 and 241,990.88

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Solution

The third proportional to 114,532.31 and 241,990.88 is: 511,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,532.31 : 241,990.88 = 241,990.88 : x
  2. Step 2: Convert to fraction form
    114,532.31/241,990.88 = 241,990.88/x
  3. Step 3: Cross multiply
    114,532.31x = 241,990.88 × 241,990.88
  4. Step 4: Simplify right side
    114,532.31x = 58,559,583,583.27
  5. Step 5: Solve for x
    x = 58,559,583,583.27/114,532.31
  6. Step 6: Final answer
    x = 511,293.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.