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Finding the Third Proportional to 139,435 and 215,448

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Solution

The third proportional to 139,435 and 215,448 is: 332,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,435 : 215,448 = 215,448 : x
  2. Step 2: Convert to fraction form
    139,435/215,448 = 215,448/x
  3. Step 3: Cross multiply
    139,435x = 215,448 × 215,448
  4. Step 4: Simplify right side
    139,435x = 46,417,840,704
  5. Step 5: Solve for x
    x = 46,417,840,704/139,435
  6. Step 6: Final answer
    x = 332,899.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.