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Finding the Third Proportional to 161,382 and 341,961

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Solution

The third proportional to 161,382 and 341,961 is: 724,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,382 : 341,961 = 341,961 : x
  2. Step 2: Convert to fraction form
    161,382/341,961 = 341,961/x
  3. Step 3: Cross multiply
    161,382x = 341,961 × 341,961
  4. Step 4: Simplify right side
    161,382x = 116,937,325,521
  5. Step 5: Solve for x
    x = 116,937,325,521/161,382
  6. Step 6: Final answer
    x = 724,599.56

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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.