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Finding the Third Proportional to 123,369.75 and 270,302.06

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Solution

The third proportional to 123,369.75 and 270,302.06 is: 592,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,369.75 : 270,302.06 = 270,302.06 : x
  2. Step 2: Convert to fraction form
    123,369.75/270,302.06 = 270,302.06/x
  3. Step 3: Cross multiply
    123,369.75x = 270,302.06 × 270,302.06
  4. Step 4: Simplify right side
    123,369.75x = 73,063,204,991.75
  5. Step 5: Solve for x
    x = 73,063,204,991.75/123,369.75
  6. Step 6: Final answer
    x = 592,229.50

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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.