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Finding the Third Proportional to 161,379 and 341,955

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Solution

The third proportional to 161,379 and 341,955 is: 724,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,379 : 341,955 = 341,955 : x
  2. Step 2: Convert to fraction form
    161,379/341,955 = 341,955/x
  3. Step 3: Cross multiply
    161,379x = 341,955 × 341,955
  4. Step 4: Simplify right side
    161,379x = 116,933,222,025
  5. Step 5: Solve for x
    x = 116,933,222,025/161,379
  6. Step 6: Final answer
    x = 724,587.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.