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Finding the Third Proportional to 139,348 and 304,872

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Solution

The third proportional to 139,348 and 304,872 is: 667,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,348 : 304,872 = 304,872 : x
  2. Step 2: Convert to fraction form
    139,348/304,872 = 304,872/x
  3. Step 3: Cross multiply
    139,348x = 304,872 × 304,872
  4. Step 4: Simplify right side
    139,348x = 92,946,936,384
  5. Step 5: Solve for x
    x = 92,946,936,384/139,348
  6. Step 6: Final answer
    x = 667,013.06

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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.