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Finding the Third Proportional to 118,960 and 247,788

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Solution

The third proportional to 118,960 and 247,788 is: 516,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,960 : 247,788 = 247,788 : x
  2. Step 2: Convert to fraction form
    118,960/247,788 = 247,788/x
  3. Step 3: Cross multiply
    118,960x = 247,788 × 247,788
  4. Step 4: Simplify right side
    118,960x = 61,398,892,944
  5. Step 5: Solve for x
    x = 61,398,892,944/118,960
  6. Step 6: Final answer
    x = 516,130.57

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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.