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Finding the Third Proportional to 110,985.75 and 240,651

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Solution

The third proportional to 110,985.75 and 240,651 is: 521,804.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,985.75 : 240,651 = 240,651 : x
  2. Step 2: Convert to fraction form
    110,985.75/240,651 = 240,651/x
  3. Step 3: Cross multiply
    110,985.75x = 240,651 × 240,651
  4. Step 4: Simplify right side
    110,985.75x = 57,912,903,801
  5. Step 5: Solve for x
    x = 57,912,903,801/110,985.75
  6. Step 6: Final answer
    x = 521,804.86

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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.