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Finding the Third Proportional to 151,418 and 327,916

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Solution

The third proportional to 151,418 and 327,916 is: 710,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,418 : 327,916 = 327,916 : x
  2. Step 2: Convert to fraction form
    151,418/327,916 = 327,916/x
  3. Step 3: Cross multiply
    151,418x = 327,916 × 327,916
  4. Step 4: Simplify right side
    151,418x = 107,528,903,056
  5. Step 5: Solve for x
    x = 107,528,903,056/151,418
  6. Step 6: Final answer
    x = 710,146.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.