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Finding the Third Proportional to 114,732.56 and 248,533.31

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Solution

The third proportional to 114,732.56 and 248,533.31 is: 538,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,732.56 : 248,533.31 = 248,533.31 : x
  2. Step 2: Convert to fraction form
    114,732.56/248,533.31 = 248,533.31/x
  3. Step 3: Cross multiply
    114,732.56x = 248,533.31 × 248,533.31
  4. Step 4: Simplify right side
    114,732.56x = 61,768,807,422.22
  5. Step 5: Solve for x
    x = 61,768,807,422.22/114,732.56
  6. Step 6: Final answer
    x = 538,372.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.