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Finding the Third Proportional to 139,462 and 304,844

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Solution

The third proportional to 139,462 and 304,844 is: 666,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,462 : 304,844 = 304,844 : x
  2. Step 2: Convert to fraction form
    139,462/304,844 = 304,844/x
  3. Step 3: Cross multiply
    139,462x = 304,844 × 304,844
  4. Step 4: Simplify right side
    139,462x = 92,929,864,336
  5. Step 5: Solve for x
    x = 92,929,864,336/139,462
  6. Step 6: Final answer
    x = 666,345.42

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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.