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Finding the Third Proportional to 159,720 and 341,601

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Solution

The third proportional to 159,720 and 341,601 is: 730,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,720 : 341,601 = 341,601 : x
  2. Step 2: Convert to fraction form
    159,720/341,601 = 341,601/x
  3. Step 3: Cross multiply
    159,720x = 341,601 × 341,601
  4. Step 4: Simplify right side
    159,720x = 116,691,243,201
  5. Step 5: Solve for x
    x = 116,691,243,201/159,720
  6. Step 6: Final answer
    x = 730,598.82

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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.