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Finding the Third Proportional to 139,448 and 213,357

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Solution

The third proportional to 139,448 and 213,357 is: 326,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,448 : 213,357 = 213,357 : x
  2. Step 2: Convert to fraction form
    139,448/213,357 = 213,357/x
  3. Step 3: Cross multiply
    139,448x = 213,357 × 213,357
  4. Step 4: Simplify right side
    139,448x = 45,521,209,449
  5. Step 5: Solve for x
    x = 45,521,209,449/139,448
  6. Step 6: Final answer
    x = 326,438.60

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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.