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Finding the Third Proportional to 193,259.25 and 425,763

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Solution

The third proportional to 193,259.25 and 425,763 is: 937,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,259.25 : 425,763 = 425,763 : x
  2. Step 2: Convert to fraction form
    193,259.25/425,763 = 425,763/x
  3. Step 3: Cross multiply
    193,259.25x = 425,763 × 425,763
  4. Step 4: Simplify right side
    193,259.25x = 181,274,132,169
  5. Step 5: Solve for x
    x = 181,274,132,169/193,259.25
  6. Step 6: Final answer
    x = 937,984.25

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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.