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Finding the Third Proportional to 159,750.56 and 341,942.06

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Solution

The third proportional to 159,750.56 and 341,942.06 is: 731,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,750.56 : 341,942.06 = 341,942.06 : x
  2. Step 2: Convert to fraction form
    159,750.56/341,942.06 = 341,942.06/x
  3. Step 3: Cross multiply
    159,750.56x = 341,942.06 × 341,942.06
  4. Step 4: Simplify right side
    159,750.56x = 116,924,374,106.75
  5. Step 5: Solve for x
    x = 116,924,374,106.75/159,750.56
  6. Step 6: Final answer
    x = 731,918.39

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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.