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Finding the Third Proportional to 159,531 and 327,258

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Solution

The third proportional to 159,531 and 327,258 is: 671,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,531 : 327,258 = 327,258 : x
  2. Step 2: Convert to fraction form
    159,531/327,258 = 327,258/x
  3. Step 3: Cross multiply
    159,531x = 327,258 × 327,258
  4. Step 4: Simplify right side
    159,531x = 107,097,798,564
  5. Step 5: Solve for x
    x = 107,097,798,564/159,531
  6. Step 6: Final answer
    x = 671,329.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.