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Finding the Third Proportional to 116,019 and 245,760.75

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Solution

The third proportional to 116,019 and 245,760.75 is: 520,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,019 : 245,760.75 = 245,760.75 : x
  2. Step 2: Convert to fraction form
    116,019/245,760.75 = 245,760.75/x
  3. Step 3: Cross multiply
    116,019x = 245,760.75 × 245,760.75
  4. Step 4: Simplify right side
    116,019x = 60,398,346,240.56
  5. Step 5: Solve for x
    x = 60,398,346,240.56/116,019
  6. Step 6: Final answer
    x = 520,590.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.