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Finding the Third Proportional to 193,002.75 and 425,270.25

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Solution

The third proportional to 193,002.75 and 425,270.25 is: 937,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,002.75 : 425,270.25 = 425,270.25 : x
  2. Step 2: Convert to fraction form
    193,002.75/425,270.25 = 425,270.25/x
  3. Step 3: Cross multiply
    193,002.75x = 425,270.25 × 425,270.25
  4. Step 4: Simplify right side
    193,002.75x = 180,854,785,535.06
  5. Step 5: Solve for x
    x = 180,854,785,535.06/193,002.75
  6. Step 6: Final answer
    x = 937,058.08

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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.