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Finding the Third Proportional to 144,606.38 and 311,416.88

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Solution

The third proportional to 144,606.38 and 311,416.88 is: 670,651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,606.38 : 311,416.88 = 311,416.88 : x
  2. Step 2: Convert to fraction form
    144,606.38/311,416.88 = 311,416.88/x
  3. Step 3: Cross multiply
    144,606.38x = 311,416.88 × 311,416.88
  4. Step 4: Simplify right side
    144,606.38x = 96,980,470,034.77
  5. Step 5: Solve for x
    x = 96,980,470,034.77/144,606.38
  6. Step 6: Final answer
    x = 670,651.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.