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Finding the Third Proportional to 160,827.75 and 236,562.75

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Solution

The third proportional to 160,827.75 and 236,562.75 is: 347,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,827.75 : 236,562.75 = 236,562.75 : x
  2. Step 2: Convert to fraction form
    160,827.75/236,562.75 = 236,562.75/x
  3. Step 3: Cross multiply
    160,827.75x = 236,562.75 × 236,562.75
  4. Step 4: Simplify right side
    160,827.75x = 55,961,934,687.56
  5. Step 5: Solve for x
    x = 55,961,934,687.56/160,827.75
  6. Step 6: Final answer
    x = 347,961.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.