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Finding the Third Proportional to 119,312 and 252,448

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Solution

The third proportional to 119,312 and 252,448 is: 534,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,312 : 252,448 = 252,448 : x
  2. Step 2: Convert to fraction form
    119,312/252,448 = 252,448/x
  3. Step 3: Cross multiply
    119,312x = 252,448 × 252,448
  4. Step 4: Simplify right side
    119,312x = 63,729,992,704
  5. Step 5: Solve for x
    x = 63,729,992,704/119,312
  6. Step 6: Final answer
    x = 534,145.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.