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Finding the Third Proportional to 159,096 and 233,295

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Solution

The third proportional to 159,096 and 233,295 is: 342,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,096 : 233,295 = 233,295 : x
  2. Step 2: Convert to fraction form
    159,096/233,295 = 233,295/x
  3. Step 3: Cross multiply
    159,096x = 233,295 × 233,295
  4. Step 4: Simplify right side
    159,096x = 54,426,557,025
  5. Step 5: Solve for x
    x = 54,426,557,025/159,096
  6. Step 6: Final answer
    x = 342,098.84

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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.