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Finding the Third Proportional to 139,424 and 304,960

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Solution

The third proportional to 139,424 and 304,960 is: 667,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,424 : 304,960 = 304,960 : x
  2. Step 2: Convert to fraction form
    139,424/304,960 = 304,960/x
  3. Step 3: Cross multiply
    139,424x = 304,960 × 304,960
  4. Step 4: Simplify right side
    139,424x = 93,000,601,600
  5. Step 5: Solve for x
    x = 93,000,601,600/139,424
  6. Step 6: Final answer
    x = 667,034.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.