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Finding the Third Proportional to 159,927.75 and 341,998.88

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Solution

The third proportional to 159,927.75 and 341,998.88 is: 731,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,927.75 : 341,998.88 = 341,998.88 : x
  2. Step 2: Convert to fraction form
    159,927.75/341,998.88 = 341,998.88/x
  3. Step 3: Cross multiply
    159,927.75x = 341,998.88 × 341,998.88
  4. Step 4: Simplify right side
    159,927.75x = 116,963,230,501.27
  5. Step 5: Solve for x
    x = 116,963,230,501.27/159,927.75
  6. Step 6: Final answer
    x = 731,350.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.