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Finding the Third Proportional to 144,310 and 319,766

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Solution

The third proportional to 144,310 and 319,766 is: 708,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,310 : 319,766 = 319,766 : x
  2. Step 2: Convert to fraction form
    144,310/319,766 = 319,766/x
  3. Step 3: Cross multiply
    144,310x = 319,766 × 319,766
  4. Step 4: Simplify right side
    144,310x = 102,250,294,756
  5. Step 5: Solve for x
    x = 102,250,294,756/144,310
  6. Step 6: Final answer
    x = 708,546.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.