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Finding the Third Proportional to 139,492 and 304,256

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Solution

The third proportional to 139,492 and 304,256 is: 663,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,492 : 304,256 = 304,256 : x
  2. Step 2: Convert to fraction form
    139,492/304,256 = 304,256/x
  3. Step 3: Cross multiply
    139,492x = 304,256 × 304,256
  4. Step 4: Simplify right side
    139,492x = 92,571,713,536
  5. Step 5: Solve for x
    x = 92,571,713,536/139,492
  6. Step 6: Final answer
    x = 663,634.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.