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Finding the Third Proportional to 117,261 and 238,660.50

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Solution

The third proportional to 117,261 and 238,660.50 is: 485,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,261 : 238,660.50 = 238,660.50 : x
  2. Step 2: Convert to fraction form
    117,261/238,660.50 = 238,660.50/x
  3. Step 3: Cross multiply
    117,261x = 238,660.50 × 238,660.50
  4. Step 4: Simplify right side
    117,261x = 56,958,834,260.25
  5. Step 5: Solve for x
    x = 56,958,834,260.25/117,261
  6. Step 6: Final answer
    x = 485,744.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.