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Finding the Third Proportional to 161,358 and 329,844

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Solution

The third proportional to 161,358 and 329,844 is: 674,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,358 : 329,844 = 329,844 : x
  2. Step 2: Convert to fraction form
    161,358/329,844 = 329,844/x
  3. Step 3: Cross multiply
    161,358x = 329,844 × 329,844
  4. Step 4: Simplify right side
    161,358x = 108,797,064,336
  5. Step 5: Solve for x
    x = 108,797,064,336/161,358
  6. Step 6: Final answer
    x = 674,258.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.