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Finding the Third Proportional to 116,671.50 and 241,119

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Solution

The third proportional to 116,671.50 and 241,119 is: 498,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,671.50 : 241,119 = 241,119 : x
  2. Step 2: Convert to fraction form
    116,671.50/241,119 = 241,119/x
  3. Step 3: Cross multiply
    116,671.50x = 241,119 × 241,119
  4. Step 4: Simplify right side
    116,671.50x = 58,138,372,161
  5. Step 5: Solve for x
    x = 58,138,372,161/116,671.50
  6. Step 6: Final answer
    x = 498,308.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.