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Finding the Third Proportional to 158,557.50 and 211,376.25

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Solution

The third proportional to 158,557.50 and 211,376.25 is: 281,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,557.50 : 211,376.25 = 211,376.25 : x
  2. Step 2: Convert to fraction form
    158,557.50/211,376.25 = 211,376.25/x
  3. Step 3: Cross multiply
    158,557.50x = 211,376.25 × 211,376.25
  4. Step 4: Simplify right side
    158,557.50x = 44,679,919,064.06
  5. Step 5: Solve for x
    x = 44,679,919,064.06/158,557.50
  6. Step 6: Final answer
    x = 281,790.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.