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Finding the Third Proportional to 160,888 and 211,568.50

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Solution

The third proportional to 160,888 and 211,568.50 is: 278,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,888 : 211,568.50 = 211,568.50 : x
  2. Step 2: Convert to fraction form
    160,888/211,568.50 = 211,568.50/x
  3. Step 3: Cross multiply
    160,888x = 211,568.50 × 211,568.50
  4. Step 4: Simplify right side
    160,888x = 44,761,230,192.25
  5. Step 5: Solve for x
    x = 44,761,230,192.25/160,888
  6. Step 6: Final answer
    x = 278,213.60

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