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Finding the Third Proportional to 139,488 and 296,400

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Solution

The third proportional to 139,488 and 296,400 is: 629,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,488 : 296,400 = 296,400 : x
  2. Step 2: Convert to fraction form
    139,488/296,400 = 296,400/x
  3. Step 3: Cross multiply
    139,488x = 296,400 × 296,400
  4. Step 4: Simplify right side
    139,488x = 87,852,960,000
  5. Step 5: Solve for x
    x = 87,852,960,000/139,488
  6. Step 6: Final answer
    x = 629,824.50

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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.