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Finding the Third Proportional to 173,421 and 259,422.75

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Solution

The third proportional to 173,421 and 259,422.75 is: 388,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,421 : 259,422.75 = 259,422.75 : x
  2. Step 2: Convert to fraction form
    173,421/259,422.75 = 259,422.75/x
  3. Step 3: Cross multiply
    173,421x = 259,422.75 × 259,422.75
  4. Step 4: Simplify right side
    173,421x = 67,300,163,217.56
  5. Step 5: Solve for x
    x = 67,300,163,217.56/173,421
  6. Step 6: Final answer
    x = 388,073.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.