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Finding the Third Proportional to 160,888.50 and 211,569.75

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Solution

The third proportional to 160,888.50 and 211,569.75 is: 278,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,888.50 : 211,569.75 = 211,569.75 : x
  2. Step 2: Convert to fraction form
    160,888.50/211,569.75 = 211,569.75/x
  3. Step 3: Cross multiply
    160,888.50x = 211,569.75 × 211,569.75
  4. Step 4: Simplify right side
    160,888.50x = 44,761,759,115.06
  5. Step 5: Solve for x
    x = 44,761,759,115.06/160,888.50
  6. Step 6: Final answer
    x = 278,216.03

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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.