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Finding the Third Proportional to 116,625.75 and 240,612.75

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Solution

The third proportional to 116,625.75 and 240,612.75 is: 496,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,625.75 : 240,612.75 = 240,612.75 : x
  2. Step 2: Convert to fraction form
    116,625.75/240,612.75 = 240,612.75/x
  3. Step 3: Cross multiply
    116,625.75x = 240,612.75 × 240,612.75
  4. Step 4: Simplify right side
    116,625.75x = 57,894,495,462.56
  5. Step 5: Solve for x
    x = 57,894,495,462.56/116,625.75
  6. Step 6: Final answer
    x = 496,412.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.