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Finding the Third Proportional to 116,568 and 241,428.38

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Solution

The third proportional to 116,568 and 241,428.38 is: 500,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,568 : 241,428.38 = 241,428.38 : x
  2. Step 2: Convert to fraction form
    116,568/241,428.38 = 241,428.38/x
  3. Step 3: Cross multiply
    116,568x = 241,428.38 × 241,428.38
  4. Step 4: Simplify right side
    116,568x = 58,287,660,255.14
  5. Step 5: Solve for x
    x = 58,287,660,255.14/116,568
  6. Step 6: Final answer
    x = 500,031.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.