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Finding the Third Proportional to 195,837 and 264,230.50

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Solution

The third proportional to 195,837 and 264,230.50 is: 356,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,837 : 264,230.50 = 264,230.50 : x
  2. Step 2: Convert to fraction form
    195,837/264,230.50 = 264,230.50/x
  3. Step 3: Cross multiply
    195,837x = 264,230.50 × 264,230.50
  4. Step 4: Simplify right side
    195,837x = 69,817,757,130.25
  5. Step 5: Solve for x
    x = 69,817,757,130.25/195,837
  6. Step 6: Final answer
    x = 356,509.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.