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Finding the Third Proportional to 163,874 and 250,572

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Solution

The third proportional to 163,874 and 250,572 is: 383,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,874 : 250,572 = 250,572 : x
  2. Step 2: Convert to fraction form
    163,874/250,572 = 250,572/x
  3. Step 3: Cross multiply
    163,874x = 250,572 × 250,572
  4. Step 4: Simplify right side
    163,874x = 62,786,327,184
  5. Step 5: Solve for x
    x = 62,786,327,184/163,874
  6. Step 6: Final answer
    x = 383,137.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.