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Finding the Third Proportional to 195,829.31 and 264,216.94

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Solution

The third proportional to 195,829.31 and 264,216.94 is: 356,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,829.31 : 264,216.94 = 264,216.94 : x
  2. Step 2: Convert to fraction form
    195,829.31/264,216.94 = 264,216.94/x
  3. Step 3: Cross multiply
    195,829.31x = 264,216.94 × 264,216.94
  4. Step 4: Simplify right side
    195,829.31x = 69,810,590,061.88
  5. Step 5: Solve for x
    x = 69,810,590,061.88/195,829.31
  6. Step 6: Final answer
    x = 356,486.93

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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.