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Finding the Third Proportional to 106,290.75 and 233,315.25

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Solution

The third proportional to 106,290.75 and 233,315.25 is: 512,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,290.75 : 233,315.25 = 233,315.25 : x
  2. Step 2: Convert to fraction form
    106,290.75/233,315.25 = 233,315.25/x
  3. Step 3: Cross multiply
    106,290.75x = 233,315.25 × 233,315.25
  4. Step 4: Simplify right side
    106,290.75x = 54,436,005,882.56
  5. Step 5: Solve for x
    x = 54,436,005,882.56/106,290.75
  6. Step 6: Final answer
    x = 512,142.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.