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Finding the Third Proportional to 161,357 and 350,701

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Solution

The third proportional to 161,357 and 350,701 is: 762,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,357 : 350,701 = 350,701 : x
  2. Step 2: Convert to fraction form
    161,357/350,701 = 350,701/x
  3. Step 3: Cross multiply
    161,357x = 350,701 × 350,701
  4. Step 4: Simplify right side
    161,357x = 122,991,191,401
  5. Step 5: Solve for x
    x = 122,991,191,401/161,357
  6. Step 6: Final answer
    x = 762,230.28

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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.