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Finding the Third Proportional to 239,900.50 and 513,020

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Solution

The third proportional to 239,900.50 and 513,020 is: 1,097,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,900.50 : 513,020 = 513,020 : x
  2. Step 2: Convert to fraction form
    239,900.50/513,020 = 513,020/x
  3. Step 3: Cross multiply
    239,900.50x = 513,020 × 513,020
  4. Step 4: Simplify right side
    239,900.50x = 263,189,520,400
  5. Step 5: Solve for x
    x = 263,189,520,400/239,900.50
  6. Step 6: Final answer
    x = 1,097,077.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.