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Finding the Third Proportional to 157,005 and 327,294

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Solution

The third proportional to 157,005 and 327,294 is: 682,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,005 : 327,294 = 327,294 : x
  2. Step 2: Convert to fraction form
    157,005/327,294 = 327,294/x
  3. Step 3: Cross multiply
    157,005x = 327,294 × 327,294
  4. Step 4: Simplify right side
    157,005x = 107,121,362,436
  5. Step 5: Solve for x
    x = 107,121,362,436/157,005
  6. Step 6: Final answer
    x = 682,279.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.