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Finding the Third Proportional to 119,728 and 252,416

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Solution

The third proportional to 119,728 and 252,416 is: 532,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,728 : 252,416 = 252,416 : x
  2. Step 2: Convert to fraction form
    119,728/252,416 = 252,416/x
  3. Step 3: Cross multiply
    119,728x = 252,416 × 252,416
  4. Step 4: Simplify right side
    119,728x = 63,713,837,056
  5. Step 5: Solve for x
    x = 63,713,837,056/119,728
  6. Step 6: Final answer
    x = 532,154.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.