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Finding the Third Proportional to 193,083.75 and 425,434.50

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Solution

The third proportional to 193,083.75 and 425,434.50 is: 937,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,083.75 : 425,434.50 = 425,434.50 : x
  2. Step 2: Convert to fraction form
    193,083.75/425,434.50 = 425,434.50/x
  3. Step 3: Cross multiply
    193,083.75x = 425,434.50 × 425,434.50
  4. Step 4: Simplify right side
    193,083.75x = 180,994,513,790.25
  5. Step 5: Solve for x
    x = 180,994,513,790.25/193,083.75
  6. Step 6: Final answer
    x = 937,388.64

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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.