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Finding the Third Proportional to 195,211.50 and 295,278

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Solution

The third proportional to 195,211.50 and 295,278 is: 446,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,211.50 : 295,278 = 295,278 : x
  2. Step 2: Convert to fraction form
    195,211.50/295,278 = 295,278/x
  3. Step 3: Cross multiply
    195,211.50x = 295,278 × 295,278
  4. Step 4: Simplify right side
    195,211.50x = 87,189,097,284
  5. Step 5: Solve for x
    x = 87,189,097,284/195,211.50
  6. Step 6: Final answer
    x = 446,639.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.