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Finding the Third Proportional to 161,604 and 343,944

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Solution

The third proportional to 161,604 and 343,944 is: 732,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,604 : 343,944 = 343,944 : x
  2. Step 2: Convert to fraction form
    161,604/343,944 = 343,944/x
  3. Step 3: Cross multiply
    161,604x = 343,944 × 343,944
  4. Step 4: Simplify right side
    161,604x = 118,297,475,136
  5. Step 5: Solve for x
    x = 118,297,475,136/161,604
  6. Step 6: Final answer
    x = 732,020.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.