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Finding the Third Proportional to 113,421 and 238,451

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Solution

The third proportional to 113,421 and 238,451 is: 501,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,421 : 238,451 = 238,451 : x
  2. Step 2: Convert to fraction form
    113,421/238,451 = 238,451/x
  3. Step 3: Cross multiply
    113,421x = 238,451 × 238,451
  4. Step 4: Simplify right side
    113,421x = 56,858,879,401
  5. Step 5: Solve for x
    x = 56,858,879,401/113,421
  6. Step 6: Final answer
    x = 501,308.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.