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Finding the Third Proportional to 109,977.75 and 240,975

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Solution

The third proportional to 109,977.75 and 240,975 is: 528,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,977.75 : 240,975 = 240,975 : x
  2. Step 2: Convert to fraction form
    109,977.75/240,975 = 240,975/x
  3. Step 3: Cross multiply
    109,977.75x = 240,975 × 240,975
  4. Step 4: Simplify right side
    109,977.75x = 58,068,950,625
  5. Step 5: Solve for x
    x = 58,068,950,625/109,977.75
  6. Step 6: Final answer
    x = 528,006.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.