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Finding the Third Proportional to 160,760.25 and 236,490.75

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Solution

The third proportional to 160,760.25 and 236,490.75 is: 347,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,760.25 : 236,490.75 = 236,490.75 : x
  2. Step 2: Convert to fraction form
    160,760.25/236,490.75 = 236,490.75/x
  3. Step 3: Cross multiply
    160,760.25x = 236,490.75 × 236,490.75
  4. Step 4: Simplify right side
    160,760.25x = 55,927,874,835.56
  5. Step 5: Solve for x
    x = 55,927,874,835.56/160,760.25
  6. Step 6: Final answer
    x = 347,896.17

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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.