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Finding the Third Proportional to 141,308 and 294,104

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Solution

The third proportional to 141,308 and 294,104 is: 612,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,308 : 294,104 = 294,104 : x
  2. Step 2: Convert to fraction form
    141,308/294,104 = 294,104/x
  3. Step 3: Cross multiply
    141,308x = 294,104 × 294,104
  4. Step 4: Simplify right side
    141,308x = 86,497,162,816
  5. Step 5: Solve for x
    x = 86,497,162,816/141,308
  6. Step 6: Final answer
    x = 612,117.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.