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Finding the Third Proportional to 114,721.31 and 248,509.90

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Solution

The third proportional to 114,721.31 and 248,509.90 is: 538,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,721.31 : 248,509.90 = 248,509.90 : x
  2. Step 2: Convert to fraction form
    114,721.31/248,509.90 = 248,509.90/x
  3. Step 3: Cross multiply
    114,721.31x = 248,509.90 × 248,509.90
  4. Step 4: Simplify right side
    114,721.31x = 61,757,169,621.42
  5. Step 5: Solve for x
    x = 61,757,169,621.42/114,721.31
  6. Step 6: Final answer
    x = 538,323.42

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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.