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Finding the Third Proportional to 116,588.25 and 251,013.75

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Solution

The third proportional to 116,588.25 and 251,013.75 is: 540,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,588.25 : 251,013.75 = 251,013.75 : x
  2. Step 2: Convert to fraction form
    116,588.25/251,013.75 = 251,013.75/x
  3. Step 3: Cross multiply
    116,588.25x = 251,013.75 × 251,013.75
  4. Step 4: Simplify right side
    116,588.25x = 63,007,902,689.06
  5. Step 5: Solve for x
    x = 63,007,902,689.06/116,588.25
  6. Step 6: Final answer
    x = 540,430.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.