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Finding the Third Proportional to 161,715 and 353,094

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Solution

The third proportional to 161,715 and 353,094 is: 770,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,715 : 353,094 = 353,094 : x
  2. Step 2: Convert to fraction form
    161,715/353,094 = 353,094/x
  3. Step 3: Cross multiply
    161,715x = 353,094 × 353,094
  4. Step 4: Simplify right side
    161,715x = 124,675,372,836
  5. Step 5: Solve for x
    x = 124,675,372,836/161,715
  6. Step 6: Final answer
    x = 770,957.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.