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Finding the Third Proportional to 115,021 and 250,291

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Solution

The third proportional to 115,021 and 250,291 is: 544,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,021 : 250,291 = 250,291 : x
  2. Step 2: Convert to fraction form
    115,021/250,291 = 250,291/x
  3. Step 3: Cross multiply
    115,021x = 250,291 × 250,291
  4. Step 4: Simplify right side
    115,021x = 62,645,584,681
  5. Step 5: Solve for x
    x = 62,645,584,681/115,021
  6. Step 6: Final answer
    x = 544,644.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.