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Finding the Third Proportional to 114,443.25 and 248,588.63

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Solution

The third proportional to 114,443.25 and 248,588.63 is: 539,973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,443.25 : 248,588.63 = 248,588.63 : x
  2. Step 2: Convert to fraction form
    114,443.25/248,588.63 = 248,588.63/x
  3. Step 3: Cross multiply
    114,443.25x = 248,588.63 × 248,588.63
  4. Step 4: Simplify right side
    114,443.25x = 61,796,304,479.39
  5. Step 5: Solve for x
    x = 61,796,304,479.39/114,443.25
  6. Step 6: Final answer
    x = 539,973.34

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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.