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Finding the Third Proportional to 275,232.75 and 425,301.75

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Solution

The third proportional to 275,232.75 and 425,301.75 is: 657,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,232.75 : 425,301.75 = 425,301.75 : x
  2. Step 2: Convert to fraction form
    275,232.75/425,301.75 = 425,301.75/x
  3. Step 3: Cross multiply
    275,232.75x = 425,301.75 × 425,301.75
  4. Step 4: Simplify right side
    275,232.75x = 180,881,578,553.06
  5. Step 5: Solve for x
    x = 180,881,578,553.06/275,232.75
  6. Step 6: Final answer
    x = 657,194.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.