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Finding the Third Proportional to 137,960 and 294,253

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Solution

The third proportional to 137,960 and 294,253 is: 627,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,960 : 294,253 = 294,253 : x
  2. Step 2: Convert to fraction form
    137,960/294,253 = 294,253/x
  3. Step 3: Cross multiply
    137,960x = 294,253 × 294,253
  4. Step 4: Simplify right side
    137,960x = 86,584,828,009
  5. Step 5: Solve for x
    x = 86,584,828,009/137,960
  6. Step 6: Final answer
    x = 627,608.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.