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Finding the Third Proportional to 175,813 and 262,560.75

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Solution

The third proportional to 175,813 and 262,560.75 is: 392,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,813 : 262,560.75 = 262,560.75 : x
  2. Step 2: Convert to fraction form
    175,813/262,560.75 = 262,560.75/x
  3. Step 3: Cross multiply
    175,813x = 262,560.75 × 262,560.75
  4. Step 4: Simplify right side
    175,813x = 68,938,147,440.56
  5. Step 5: Solve for x
    x = 68,938,147,440.56/175,813
  6. Step 6: Final answer
    x = 392,110.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.