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Finding the Third Proportional to 161,391 and 341,979

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Solution

The third proportional to 161,391 and 341,979 is: 724,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,391 : 341,979 = 341,979 : x
  2. Step 2: Convert to fraction form
    161,391/341,979 = 341,979/x
  3. Step 3: Cross multiply
    161,391x = 341,979 × 341,979
  4. Step 4: Simplify right side
    161,391x = 116,949,636,441
  5. Step 5: Solve for x
    x = 116,949,636,441/161,391
  6. Step 6: Final answer
    x = 724,635.43

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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.