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Finding the Third Proportional to 161,393 and 341,983

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Solution

The third proportional to 161,393 and 341,983 is: 724,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,393 : 341,983 = 341,983 : x
  2. Step 2: Convert to fraction form
    161,393/341,983 = 341,983/x
  3. Step 3: Cross multiply
    161,393x = 341,983 × 341,983
  4. Step 4: Simplify right side
    161,393x = 116,952,372,289
  5. Step 5: Solve for x
    x = 116,952,372,289/161,393
  6. Step 6: Final answer
    x = 724,643.40

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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.