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Finding the Third Proportional to 115,408 and 250,400

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Solution

The third proportional to 115,408 and 250,400 is: 543,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,408 : 250,400 = 250,400 : x
  2. Step 2: Convert to fraction form
    115,408/250,400 = 250,400/x
  3. Step 3: Cross multiply
    115,408x = 250,400 × 250,400
  4. Step 4: Simplify right side
    115,408x = 62,700,160,000
  5. Step 5: Solve for x
    x = 62,700,160,000/115,408
  6. Step 6: Final answer
    x = 543,291.28

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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.