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Finding the Third Proportional to 173,990 and 334,156

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Solution

The third proportional to 173,990 and 334,156 is: 641,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,990 : 334,156 = 334,156 : x
  2. Step 2: Convert to fraction form
    173,990/334,156 = 334,156/x
  3. Step 3: Cross multiply
    173,990x = 334,156 × 334,156
  4. Step 4: Simplify right side
    173,990x = 111,660,232,336
  5. Step 5: Solve for x
    x = 111,660,232,336/173,990
  6. Step 6: Final answer
    x = 641,762.36

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.