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Finding the Third Proportional to 157,218 and 341,016

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Solution

The third proportional to 157,218 and 341,016 is: 739,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,218 : 341,016 = 341,016 : x
  2. Step 2: Convert to fraction form
    157,218/341,016 = 341,016/x
  3. Step 3: Cross multiply
    157,218x = 341,016 × 341,016
  4. Step 4: Simplify right side
    157,218x = 116,291,912,256
  5. Step 5: Solve for x
    x = 116,291,912,256/157,218
  6. Step 6: Final answer
    x = 739,685.74

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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.