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Finding the Third Proportional to 173,558 and 351,944

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Solution

The third proportional to 173,558 and 351,944 is: 713,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,558 : 351,944 = 351,944 : x
  2. Step 2: Convert to fraction form
    173,558/351,944 = 351,944/x
  3. Step 3: Cross multiply
    173,558x = 351,944 × 351,944
  4. Step 4: Simplify right side
    173,558x = 123,864,579,136
  5. Step 5: Solve for x
    x = 123,864,579,136/173,558
  6. Step 6: Final answer
    x = 713,678.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.