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Finding the Third Proportional to 139,473 and 296,388

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Solution

The third proportional to 139,473 and 296,388 is: 629,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,473 : 296,388 = 296,388 : x
  2. Step 2: Convert to fraction form
    139,473/296,388 = 296,388/x
  3. Step 3: Cross multiply
    139,473x = 296,388 × 296,388
  4. Step 4: Simplify right side
    139,473x = 87,845,846,544
  5. Step 5: Solve for x
    x = 87,845,846,544/139,473
  6. Step 6: Final answer
    x = 629,841.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.