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Finding the Third Proportional to 139,244 and 294,364

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Solution

The third proportional to 139,244 and 294,364 is: 622,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,244 : 294,364 = 294,364 : x
  2. Step 2: Convert to fraction form
    139,244/294,364 = 294,364/x
  3. Step 3: Cross multiply
    139,244x = 294,364 × 294,364
  4. Step 4: Simplify right side
    139,244x = 86,650,164,496
  5. Step 5: Solve for x
    x = 86,650,164,496/139,244
  6. Step 6: Final answer
    x = 622,290.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.