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Finding the Third Proportional to 193,110.75 and 295,411.50

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Solution

The third proportional to 193,110.75 and 295,411.50 is: 451,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,110.75 : 295,411.50 = 295,411.50 : x
  2. Step 2: Convert to fraction form
    193,110.75/295,411.50 = 295,411.50/x
  3. Step 3: Cross multiply
    193,110.75x = 295,411.50 × 295,411.50
  4. Step 4: Simplify right side
    193,110.75x = 87,267,954,332.25
  5. Step 5: Solve for x
    x = 87,267,954,332.25/193,110.75
  6. Step 6: Final answer
    x = 451,906.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.