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Finding the Third Proportional to 144,376 and 347,816

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Solution

The third proportional to 144,376 and 347,816 is: 837,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,376 : 347,816 = 347,816 : x
  2. Step 2: Convert to fraction form
    144,376/347,816 = 347,816/x
  3. Step 3: Cross multiply
    144,376x = 347,816 × 347,816
  4. Step 4: Simplify right side
    144,376x = 120,975,969,856
  5. Step 5: Solve for x
    x = 120,975,969,856/144,376
  6. Step 6: Final answer
    x = 837,922.99

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.