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Finding the Third Proportional to 131,994 and 311,262

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Solution

The third proportional to 131,994 and 311,262 is: 734,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,994 : 311,262 = 311,262 : x
  2. Step 2: Convert to fraction form
    131,994/311,262 = 311,262/x
  3. Step 3: Cross multiply
    131,994x = 311,262 × 311,262
  4. Step 4: Simplify right side
    131,994x = 96,884,032,644
  5. Step 5: Solve for x
    x = 96,884,032,644/131,994
  6. Step 6: Final answer
    x = 734,003.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.