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Finding the Third Proportional to 180,991 and 238,006.50

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Solution

The third proportional to 180,991 and 238,006.50 is: 312,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,991 : 238,006.50 = 238,006.50 : x
  2. Step 2: Convert to fraction form
    180,991/238,006.50 = 238,006.50/x
  3. Step 3: Cross multiply
    180,991x = 238,006.50 × 238,006.50
  4. Step 4: Simplify right side
    180,991x = 56,647,094,042.25
  5. Step 5: Solve for x
    x = 56,647,094,042.25/180,991
  6. Step 6: Final answer
    x = 312,982.93

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.