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Finding the Third Proportional to 193,068 and 295,346.25

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Solution

The third proportional to 193,068 and 295,346.25 is: 451,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,068 : 295,346.25 = 295,346.25 : x
  2. Step 2: Convert to fraction form
    193,068/295,346.25 = 295,346.25/x
  3. Step 3: Cross multiply
    193,068x = 295,346.25 × 295,346.25
  4. Step 4: Simplify right side
    193,068x = 87,229,407,389.06
  5. Step 5: Solve for x
    x = 87,229,407,389.06/193,068
  6. Step 6: Final answer
    x = 451,806.66

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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.