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Finding the Third Proportional to 137,287.50 and 300,819

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Solution

The third proportional to 137,287.50 and 300,819 is: 659,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,287.50 : 300,819 = 300,819 : x
  2. Step 2: Convert to fraction form
    137,287.50/300,819 = 300,819/x
  3. Step 3: Cross multiply
    137,287.50x = 300,819 × 300,819
  4. Step 4: Simplify right side
    137,287.50x = 90,492,070,761
  5. Step 5: Solve for x
    x = 90,492,070,761/137,287.50
  6. Step 6: Final answer
    x = 659,142.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.