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Finding the Third Proportional to 115,513 and 250,790

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Solution

The third proportional to 115,513 and 250,790 is: 544,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,513 : 250,790 = 250,790 : x
  2. Step 2: Convert to fraction form
    115,513/250,790 = 250,790/x
  3. Step 3: Cross multiply
    115,513x = 250,790 × 250,790
  4. Step 4: Simplify right side
    115,513x = 62,895,624,100
  5. Step 5: Solve for x
    x = 62,895,624,100/115,513
  6. Step 6: Final answer
    x = 544,489.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.