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Finding the Third Proportional to 130,385 and 313,997

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Solution

The third proportional to 130,385 and 313,997 is: 756,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,385 : 313,997 = 313,997 : x
  2. Step 2: Convert to fraction form
    130,385/313,997 = 313,997/x
  3. Step 3: Cross multiply
    130,385x = 313,997 × 313,997
  4. Step 4: Simplify right side
    130,385x = 98,594,116,009
  5. Step 5: Solve for x
    x = 98,594,116,009/130,385
  6. Step 6: Final answer
    x = 756,176.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.